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Finding the Third Proportional to 2,958,340,502,376.80 and 6,361,901,077,557.20

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Solution

The third proportional to 2,958,340,502,376.80 and 6,361,901,077,557.20 is: 13,681,246,390,706.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958,340,502,376.80 : 6,361,901,077,557.20 = 6,361,901,077,557.20 : x
  2. Step 2: Convert to fraction form
    2,958,340,502,376.80/6,361,901,077,557.20 = 6,361,901,077,557.20/x
  3. Step 3: Cross multiply
    2,958,340,502,376.80x = 6,361,901,077,557.20 × 6,361,901,077,557.20
  4. Step 4: Simplify right side
    2,958,340,502,376.80x = 40,473,785,320,623,467,126,587,392
  5. Step 5: Solve for x
    x = 40,473,785,320,623,467,126,587,392/2,958,340,502,376.80
  6. Step 6: Final answer
    x = 13,681,246,390,706.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.