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Finding the Third Proportional to 24,714,839 and 51,688,291

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Solution

The third proportional to 24,714,839 and 51,688,291 is: 108,100,215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,714,839 : 51,688,291 = 51,688,291 : x
  2. Step 2: Convert to fraction form
    24,714,839/51,688,291 = 51,688,291/x
  3. Step 3: Cross multiply
    24,714,839x = 51,688,291 × 51,688,291
  4. Step 4: Simplify right side
    24,714,839x = 2,671,679,426,500,681
  5. Step 5: Solve for x
    x = 2,671,679,426,500,681/24,714,839
  6. Step 6: Final answer
    x = 108,100,215.68

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.