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Finding the Third Proportional to 10,585,665 and 22,963,698

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Solution

The third proportional to 10,585,665 and 22,963,698 is: 49,815,616.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585,665 : 22,963,698 = 22,963,698 : x
  2. Step 2: Convert to fraction form
    10,585,665/22,963,698 = 22,963,698/x
  3. Step 3: Cross multiply
    10,585,665x = 22,963,698 × 22,963,698
  4. Step 4: Simplify right side
    10,585,665x = 527,331,425,835,204
  5. Step 5: Solve for x
    x = 527,331,425,835,204/10,585,665
  6. Step 6: Final answer
    x = 49,815,616.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.