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Finding the Third Proportional to 5,740,098 and 8,887,417

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Solution

The third proportional to 5,740,098 and 8,887,417 is: 13,760,423.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740,098 : 8,887,417 = 8,887,417 : x
  2. Step 2: Convert to fraction form
    5,740,098/8,887,417 = 8,887,417/x
  3. Step 3: Cross multiply
    5,740,098x = 8,887,417 × 8,887,417
  4. Step 4: Simplify right side
    5,740,098x = 78,986,180,931,889
  5. Step 5: Solve for x
    x = 78,986,180,931,889/5,740,098
  6. Step 6: Final answer
    x = 13,760,423.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.