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Finding the Third Proportional to 37,156,639 and 77,701,211

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Solution

The third proportional to 37,156,639 and 77,701,211 is: 162,487,198.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,156,639 : 77,701,211 = 77,701,211 : x
  2. Step 2: Convert to fraction form
    37,156,639/77,701,211 = 77,701,211/x
  3. Step 3: Cross multiply
    37,156,639x = 77,701,211 × 77,701,211
  4. Step 4: Simplify right side
    37,156,639x = 6,037,478,190,866,521
  5. Step 5: Solve for x
    x = 6,037,478,190,866,521/37,156,639
  6. Step 6: Final answer
    x = 162,487,198.88

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.