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Finding the Third Proportional to 14,098,854,949 and 21,329,909,765

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Solution

The third proportional to 14,098,854,949 and 21,329,909,765 is: 32,269,645,459.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,098,854,949 : 21,329,909,765 = 21,329,909,765 : x
  2. Step 2: Convert to fraction form
    14,098,854,949/21,329,909,765 = 21,329,909,765/x
  3. Step 3: Cross multiply
    14,098,854,949x = 21,329,909,765 × 21,329,909,765
  4. Step 4: Simplify right side
    14,098,854,949x = 454,965,050,583,042,359,296
  5. Step 5: Solve for x
    x = 454,965,050,583,042,359,296/14,098,854,949
  6. Step 6: Final answer
    x = 32,269,645,459.07

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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.