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Finding the Third Proportional to 4,329,486 and 9,345,414

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Solution

The third proportional to 4,329,486 and 9,345,414 is: 20,172,547.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,329,486 : 9,345,414 = 9,345,414 : x
  2. Step 2: Convert to fraction form
    4,329,486/9,345,414 = 9,345,414/x
  3. Step 3: Cross multiply
    4,329,486x = 9,345,414 × 9,345,414
  4. Step 4: Simplify right side
    4,329,486x = 87,336,762,831,396
  5. Step 5: Solve for x
    x = 87,336,762,831,396/4,329,486
  6. Step 6: Final answer
    x = 20,172,547.70

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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.