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Finding the Third Proportional to 7,172,498 and 15,478,456

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Solution

The third proportional to 7,172,498 and 15,478,456 is: 33,402,951.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172,498 : 15,478,456 = 15,478,456 : x
  2. Step 2: Convert to fraction form
    7,172,498/15,478,456 = 15,478,456/x
  3. Step 3: Cross multiply
    7,172,498x = 15,478,456 × 15,478,456
  4. Step 4: Simplify right side
    7,172,498x = 239,582,600,143,936
  5. Step 5: Solve for x
    x = 239,582,600,143,936/7,172,498
  6. Step 6: Final answer
    x = 33,402,951.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.