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Finding the Third Proportional to 37,762,021.50 and 58,311,165.38

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Solution

The third proportional to 37,762,021.50 and 58,311,165.38 is: 90,042,637.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,762,021.50 : 58,311,165.38 = 58,311,165.38 : x
  2. Step 2: Convert to fraction form
    37,762,021.50/58,311,165.38 = 58,311,165.38/x
  3. Step 3: Cross multiply
    37,762,021.50x = 58,311,165.38 × 58,311,165.38
  4. Step 4: Simplify right side
    37,762,021.50x = 3,400,192,007,390,599
  5. Step 5: Solve for x
    x = 3,400,192,007,390,599/37,762,021.50
  6. Step 6: Final answer
    x = 90,042,637.35

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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.