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Finding the Third Proportional to 14,098,854,951 and 21,329,909,768

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Solution

The third proportional to 14,098,854,951 and 21,329,909,768 is: 32,269,645,463.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,098,854,951 : 21,329,909,768 = 21,329,909,768 : x
  2. Step 2: Convert to fraction form
    14,098,854,951/21,329,909,768 = 21,329,909,768/x
  3. Step 3: Cross multiply
    14,098,854,951x = 21,329,909,768 × 21,329,909,768
  4. Step 4: Simplify right side
    14,098,854,951x = 454,965,050,711,021,846,528
  5. Step 5: Solve for x
    x = 454,965,050,711,021,846,528/14,098,854,951
  6. Step 6: Final answer
    x = 32,269,645,463.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.