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Finding the Third Proportional to 7,489,476 and 16,132,584

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Solution

The third proportional to 7,489,476 and 16,132,584 is: 34,750,130.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489,476 : 16,132,584 = 16,132,584 : x
  2. Step 2: Convert to fraction form
    7,489,476/16,132,584 = 16,132,584/x
  3. Step 3: Cross multiply
    7,489,476x = 16,132,584 × 16,132,584
  4. Step 4: Simplify right side
    7,489,476x = 260,260,266,517,056
  5. Step 5: Solve for x
    x = 260,260,266,517,056/7,489,476
  6. Step 6: Final answer
    x = 34,750,130.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.