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Finding the Third Proportional to 4,969,748 and 10,647,784

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Solution

The third proportional to 4,969,748 and 10,647,784 is: 22,813,089.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969,748 : 10,647,784 = 10,647,784 : x
  2. Step 2: Convert to fraction form
    4,969,748/10,647,784 = 10,647,784/x
  3. Step 3: Cross multiply
    4,969,748x = 10,647,784 × 10,647,784
  4. Step 4: Simplify right side
    4,969,748x = 113,375,304,110,656
  5. Step 5: Solve for x
    x = 113,375,304,110,656/4,969,748
  6. Step 6: Final answer
    x = 22,813,089.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.