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Finding the Third Proportional to 34,726,390 and 51,085,829

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Solution

The third proportional to 34,726,390 and 51,085,829 is: 75,152,122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,726,390 : 51,085,829 = 51,085,829 : x
  2. Step 2: Convert to fraction form
    34,726,390/51,085,829 = 51,085,829/x
  3. Step 3: Cross multiply
    34,726,390x = 51,085,829 × 51,085,829
  4. Step 4: Simplify right side
    34,726,390x = 2,609,761,924,617,241
  5. Step 5: Solve for x
    x = 2,609,761,924,617,241/34,726,390
  6. Step 6: Final answer
    x = 75,152,122.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.