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Finding the Third Proportional to 7,581,540 and 17,897,442

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Solution

The third proportional to 7,581,540 and 17,897,442 is: 42,249,784.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,581,540 : 17,897,442 = 17,897,442 : x
  2. Step 2: Convert to fraction form
    7,581,540/17,897,442 = 17,897,442/x
  3. Step 3: Cross multiply
    7,581,540x = 17,897,442 × 17,897,442
  4. Step 4: Simplify right side
    7,581,540x = 320,318,430,143,364
  5. Step 5: Solve for x
    x = 320,318,430,143,364/7,581,540
  6. Step 6: Final answer
    x = 42,249,784.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.