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Finding the Third Proportional to 24,740,649 and 51,178,410

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Solution

The third proportional to 24,740,649 and 51,178,410 is: 105,867,459.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,740,649 : 51,178,410 = 51,178,410 : x
  2. Step 2: Convert to fraction form
    24,740,649/51,178,410 = 51,178,410/x
  3. Step 3: Cross multiply
    24,740,649x = 51,178,410 × 51,178,410
  4. Step 4: Simplify right side
    24,740,649x = 2,619,229,650,128,100
  5. Step 5: Solve for x
    x = 2,619,229,650,128,100/24,740,649
  6. Step 6: Final answer
    x = 105,867,459.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.