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Finding the Third Proportional to 2,958,340,502,368.80 and 6,361,901,077,540.80

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Solution

The third proportional to 2,958,340,502,368.80 and 6,361,901,077,540.80 is: 13,681,246,390,672.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958,340,502,368.80 : 6,361,901,077,540.80 = 6,361,901,077,540.80 : x
  2. Step 2: Convert to fraction form
    2,958,340,502,368.80/6,361,901,077,540.80 = 6,361,901,077,540.80/x
  3. Step 3: Cross multiply
    2,958,340,502,368.80x = 6,361,901,077,540.80 × 6,361,901,077,540.80
  4. Step 4: Simplify right side
    2,958,340,502,368.80x = 40,473,785,320,414,791,845,543,936
  5. Step 5: Solve for x
    x = 40,473,785,320,414,791,845,543,936/2,958,340,502,368.80
  6. Step 6: Final answer
    x = 13,681,246,390,672.97

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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.