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Finding the Third Proportional to 10,714,584 and 25,288,500

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Solution

The third proportional to 10,714,584 and 25,288,500 is: 59,685,773.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714,584 : 25,288,500 = 25,288,500 : x
  2. Step 2: Convert to fraction form
    10,714,584/25,288,500 = 25,288,500/x
  3. Step 3: Cross multiply
    10,714,584x = 25,288,500 × 25,288,500
  4. Step 4: Simplify right side
    10,714,584x = 639,508,232,250,000
  5. Step 5: Solve for x
    x = 639,508,232,250,000/10,714,584
  6. Step 6: Final answer
    x = 59,685,773.36

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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.