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Finding the Third Proportional to 12,581,844,951 and 19,535,712,872

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Solution

The third proportional to 12,581,844,951 and 19,535,712,872 is: 30,332,918,495.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,581,844,951 : 19,535,712,872 = 19,535,712,872 : x
  2. Step 2: Convert to fraction form
    12,581,844,951/19,535,712,872 = 19,535,712,872/x
  3. Step 3: Cross multiply
    12,581,844,951x = 19,535,712,872 × 19,535,712,872
  4. Step 4: Simplify right side
    12,581,844,951x = 381,644,077,417,226,502,144
  5. Step 5: Solve for x
    x = 381,644,077,417,226,502,144/12,581,844,951
  6. Step 6: Final answer
    x = 30,332,918,495.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.