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Finding the Third Proportional to 37,156,657.50 and 77,701,251

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Solution

The third proportional to 37,156,657.50 and 77,701,251 is: 162,487,285.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,156,657.50 : 77,701,251 = 77,701,251 : x
  2. Step 2: Convert to fraction form
    37,156,657.50/77,701,251 = 77,701,251/x
  3. Step 3: Cross multiply
    37,156,657.50x = 77,701,251 × 77,701,251
  4. Step 4: Simplify right side
    37,156,657.50x = 6,037,484,406,965,001
  5. Step 5: Solve for x
    x = 6,037,484,406,965,001/37,156,657.50
  6. Step 6: Final answer
    x = 162,487,285.27

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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.