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Finding the Third Proportional to 22,743,776 and 53,690,342

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Solution

The third proportional to 22,743,776 and 53,690,342 is: 126,744,689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,743,776 : 53,690,342 = 53,690,342 : x
  2. Step 2: Convert to fraction form
    22,743,776/53,690,342 = 53,690,342/x
  3. Step 3: Cross multiply
    22,743,776x = 53,690,342 × 53,690,342
  4. Step 4: Simplify right side
    22,743,776x = 2,882,652,824,076,964
  5. Step 5: Solve for x
    x = 2,882,652,824,076,964/22,743,776
  6. Step 6: Final answer
    x = 126,744,689.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.