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Finding the Third Proportional to 4,098,302 and 8,827,341

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Solution

The third proportional to 4,098,302 and 8,827,341 is: 19,013,227.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098,302 : 8,827,341 = 8,827,341 : x
  2. Step 2: Convert to fraction form
    4,098,302/8,827,341 = 8,827,341/x
  3. Step 3: Cross multiply
    4,098,302x = 8,827,341 × 8,827,341
  4. Step 4: Simplify right side
    4,098,302x = 77,921,949,130,281
  5. Step 5: Solve for x
    x = 77,921,949,130,281/4,098,302
  6. Step 6: Final answer
    x = 19,013,227.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.