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Finding the Third Proportional to 37,916,622.98 and 81,690,534

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Solution

The third proportional to 37,916,622.98 and 81,690,534 is: 176,000,466.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,916,622.98 : 81,690,534 = 81,690,534 : x
  2. Step 2: Convert to fraction form
    37,916,622.98/81,690,534 = 81,690,534/x
  3. Step 3: Cross multiply
    37,916,622.98x = 81,690,534 × 81,690,534
  4. Step 4: Simplify right side
    37,916,622.98x = 6,673,343,345,205,156
  5. Step 5: Solve for x
    x = 6,673,343,345,205,156/37,916,622.98
  6. Step 6: Final answer
    x = 176,000,466.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.