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Finding the Third Proportional to 4,292,438 and 9,096,580

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Solution

The third proportional to 4,292,438 and 9,096,580 is: 19,277,568.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292,438 : 9,096,580 = 9,096,580 : x
  2. Step 2: Convert to fraction form
    4,292,438/9,096,580 = 9,096,580/x
  3. Step 3: Cross multiply
    4,292,438x = 9,096,580 × 9,096,580
  4. Step 4: Simplify right side
    4,292,438x = 82,747,767,696,400
  5. Step 5: Solve for x
    x = 82,747,767,696,400/4,292,438
  6. Step 6: Final answer
    x = 19,277,568.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.