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Finding the Third Proportional to 37,762,008.19 and 58,311,145.97

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Solution

The third proportional to 37,762,008.19 and 58,311,145.97 is: 90,042,609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,762,008.19 : 58,311,145.97 = 58,311,145.97 : x
  2. Step 2: Convert to fraction form
    37,762,008.19/58,311,145.97 = 58,311,145.97/x
  3. Step 3: Cross multiply
    37,762,008.19x = 58,311,145.97 × 58,311,145.97
  4. Step 4: Simplify right side
    37,762,008.19x = 3,400,189,744,188,869.50
  5. Step 5: Solve for x
    x = 3,400,189,744,188,869.50/37,762,008.19
  6. Step 6: Final answer
    x = 90,042,609.16

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.