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Finding the Third Proportional to 37,172,374 and 80,521,646

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Solution

The third proportional to 37,172,374 and 80,521,646 is: 174,423,497.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,172,374 : 80,521,646 = 80,521,646 : x
  2. Step 2: Convert to fraction form
    37,172,374/80,521,646 = 80,521,646/x
  3. Step 3: Cross multiply
    37,172,374x = 80,521,646 × 80,521,646
  4. Step 4: Simplify right side
    37,172,374x = 6,483,735,474,549,316
  5. Step 5: Solve for x
    x = 6,483,735,474,549,316/37,172,374
  6. Step 6: Final answer
    x = 174,423,497.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.