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Finding the Third Proportional to 24,740,642 and 51,178,396

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Solution

The third proportional to 24,740,642 and 51,178,396 is: 105,867,431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,740,642 : 51,178,396 = 51,178,396 : x
  2. Step 2: Convert to fraction form
    24,740,642/51,178,396 = 51,178,396/x
  3. Step 3: Cross multiply
    24,740,642x = 51,178,396 × 51,178,396
  4. Step 4: Simplify right side
    24,740,642x = 2,619,228,217,132,816
  5. Step 5: Solve for x
    x = 2,619,228,217,132,816/24,740,642
  6. Step 6: Final answer
    x = 105,867,431.30

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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.