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Finding the Third Proportional to 4,209,435 and 9,092,466

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Solution

The third proportional to 4,209,435 and 9,092,466 is: 19,639,913.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209,435 : 9,092,466 = 9,092,466 : x
  2. Step 2: Convert to fraction form
    4,209,435/9,092,466 = 9,092,466/x
  3. Step 3: Cross multiply
    4,209,435x = 9,092,466 × 9,092,466
  4. Step 4: Simplify right side
    4,209,435x = 82,672,937,961,156
  5. Step 5: Solve for x
    x = 82,672,937,961,156/4,209,435
  6. Step 6: Final answer
    x = 19,639,913.19

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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.