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Finding the Third Proportional to 51,737,417 and 81,160,851

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Solution

The third proportional to 51,737,417 and 81,160,851 is: 127,317,599.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,737,417 : 81,160,851 = 81,160,851 : x
  2. Step 2: Convert to fraction form
    51,737,417/81,160,851 = 81,160,851/x
  3. Step 3: Cross multiply
    51,737,417x = 81,160,851 × 81,160,851
  4. Step 4: Simplify right side
    51,737,417x = 6,587,083,735,044,201
  5. Step 5: Solve for x
    x = 6,587,083,735,044,201/51,737,417
  6. Step 6: Final answer
    x = 127,317,599.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.