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Finding the Third Proportional to 6,472,535,940 and 14,204,918,952

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Solution

The third proportional to 6,472,535,940 and 14,204,918,952 is: 31,174,755,042.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472,535,940 : 14,204,918,952 = 14,204,918,952 : x
  2. Step 2: Convert to fraction form
    6,472,535,940/14,204,918,952 = 14,204,918,952/x
  3. Step 3: Cross multiply
    6,472,535,940x = 14,204,918,952 × 14,204,918,952
  4. Step 4: Simplify right side
    6,472,535,940x = 201,779,722,432,888,766,464
  5. Step 5: Solve for x
    x = 201,779,722,432,888,766,464/6,472,535,940
  6. Step 6: Final answer
    x = 31,174,755,042.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.