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Finding the Third Proportional to 14,545,744 and 21,692,498

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Solution

The third proportional to 14,545,744 and 21,692,498 is: 32,350,663.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,545,744 : 21,692,498 = 21,692,498 : x
  2. Step 2: Convert to fraction form
    14,545,744/21,692,498 = 21,692,498/x
  3. Step 3: Cross multiply
    14,545,744x = 21,692,498 × 21,692,498
  4. Step 4: Simplify right side
    14,545,744x = 470,564,469,480,004
  5. Step 5: Solve for x
    x = 470,564,469,480,004/14,545,744
  6. Step 6: Final answer
    x = 32,350,663.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.