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Finding the Third Proportional to 4,233,638 and 9,013,486

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Solution

The third proportional to 4,233,638 and 9,013,486 is: 19,189,862.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233,638 : 9,013,486 = 9,013,486 : x
  2. Step 2: Convert to fraction form
    4,233,638/9,013,486 = 9,013,486/x
  3. Step 3: Cross multiply
    4,233,638x = 9,013,486 × 9,013,486
  4. Step 4: Simplify right side
    4,233,638x = 81,242,929,872,196
  5. Step 5: Solve for x
    x = 81,242,929,872,196/4,233,638
  6. Step 6: Final answer
    x = 19,189,862.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.