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Finding the Third Proportional to 4,714,600 and 10,180,448

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Solution

The third proportional to 4,714,600 and 10,180,448 is: 21,983,099.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714,600 : 10,180,448 = 10,180,448 : x
  2. Step 2: Convert to fraction form
    4,714,600/10,180,448 = 10,180,448/x
  3. Step 3: Cross multiply
    4,714,600x = 10,180,448 × 10,180,448
  4. Step 4: Simplify right side
    4,714,600x = 103,641,521,480,704
  5. Step 5: Solve for x
    x = 103,641,521,480,704/4,714,600
  6. Step 6: Final answer
    x = 21,983,099.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.