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Finding the Third Proportional to 36,730,298 and 80,174,884

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Solution

The third proportional to 36,730,298 and 80,174,884 is: 175,005,713.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,730,298 : 80,174,884 = 80,174,884 : x
  2. Step 2: Convert to fraction form
    36,730,298/80,174,884 = 80,174,884/x
  3. Step 3: Cross multiply
    36,730,298x = 80,174,884 × 80,174,884
  4. Step 4: Simplify right side
    36,730,298x = 6,428,012,024,413,456
  5. Step 5: Solve for x
    x = 6,428,012,024,413,456/36,730,298
  6. Step 6: Final answer
    x = 175,005,713.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.