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Finding the Third Proportional to 4,201,358 and 9,193,924

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Solution

The third proportional to 4,201,358 and 9,193,924 is: 20,119,265.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201,358 : 9,193,924 = 9,193,924 : x
  2. Step 2: Convert to fraction form
    4,201,358/9,193,924 = 9,193,924/x
  3. Step 3: Cross multiply
    4,201,358x = 9,193,924 × 9,193,924
  4. Step 4: Simplify right side
    4,201,358x = 84,528,238,517,776
  5. Step 5: Solve for x
    x = 84,528,238,517,776/4,201,358
  6. Step 6: Final answer
    x = 20,119,265.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.