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Finding the Third Proportional to 37,172,577.11 and 77,399,983.16

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Solution

The third proportional to 37,172,577.11 and 77,399,983.16 is: 161,160,668.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,172,577.11 : 77,399,983.16 = 77,399,983.16 : x
  2. Step 2: Convert to fraction form
    37,172,577.11/77,399,983.16 = 77,399,983.16/x
  3. Step 3: Cross multiply
    37,172,577.11x = 77,399,983.16 × 77,399,983.16
  4. Step 4: Simplify right side
    37,172,577.11x = 5,990,757,393,193,052
  5. Step 5: Solve for x
    x = 5,990,757,393,193,052/37,172,577.11
  6. Step 6: Final answer
    x = 161,160,668.93

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.