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Finding the Third Proportional to 2,958,340,502,369.80 and 6,361,901,077,542.40

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Solution

The third proportional to 2,958,340,502,369.80 and 6,361,901,077,542.40 is: 13,681,246,390,675.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958,340,502,369.80 : 6,361,901,077,542.40 = 6,361,901,077,542.40 : x
  2. Step 2: Convert to fraction form
    2,958,340,502,369.80/6,361,901,077,542.40 = 6,361,901,077,542.40/x
  3. Step 3: Cross multiply
    2,958,340,502,369.80x = 6,361,901,077,542.40 × 6,361,901,077,542.40
  4. Step 4: Simplify right side
    2,958,340,502,369.80x = 40,473,785,320,435,158,580,461,568
  5. Step 5: Solve for x
    x = 40,473,785,320,435,158,580,461,568/2,958,340,502,369.80
  6. Step 6: Final answer
    x = 13,681,246,390,675.23

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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.