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Finding the Third Proportional to 37,740,895.31 and 82,547,972.44

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Solution

The third proportional to 37,740,895.31 and 82,547,972.44 is: 180,551,301.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,740,895.31 : 82,547,972.44 = 82,547,972.44 : x
  2. Step 2: Convert to fraction form
    37,740,895.31/82,547,972.44 = 82,547,972.44/x
  3. Step 3: Cross multiply
    37,740,895.31x = 82,547,972.44 × 82,547,972.44
  4. Step 4: Simplify right side
    37,740,895.31x = 6,814,167,753,542,260
  5. Step 5: Solve for x
    x = 6,814,167,753,542,260/37,740,895.31
  6. Step 6: Final answer
    x = 180,551,301.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.