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Finding the Third Proportional to 7,581,600 and 17,897,520

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Solution

The third proportional to 7,581,600 and 17,897,520 is: 42,249,818.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,581,600 : 17,897,520 = 17,897,520 : x
  2. Step 2: Convert to fraction form
    7,581,600/17,897,520 = 17,897,520/x
  3. Step 3: Cross multiply
    7,581,600x = 17,897,520 × 17,897,520
  4. Step 4: Simplify right side
    7,581,600x = 320,321,222,150,400
  5. Step 5: Solve for x
    x = 320,321,222,150,400/7,581,600
  6. Step 6: Final answer
    x = 42,249,818.26

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