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Finding the Third Proportional to 22,830,829 and 34,439,780

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Solution

The third proportional to 22,830,829 and 34,439,780 is: 51,951,615.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,830,829 : 34,439,780 = 34,439,780 : x
  2. Step 2: Convert to fraction form
    22,830,829/34,439,780 = 34,439,780/x
  3. Step 3: Cross multiply
    22,830,829x = 34,439,780 × 34,439,780
  4. Step 4: Simplify right side
    22,830,829x = 1,186,098,446,448,400
  5. Step 5: Solve for x
    x = 1,186,098,446,448,400/22,830,829
  6. Step 6: Final answer
    x = 51,951,615.36

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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.