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Finding the Third Proportional to 10,585,690 and 22,963,747

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Solution

The third proportional to 10,585,690 and 22,963,747 is: 49,815,711.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585,690 : 22,963,747 = 22,963,747 : x
  2. Step 2: Convert to fraction form
    10,585,690/22,963,747 = 22,963,747/x
  3. Step 3: Cross multiply
    10,585,690x = 22,963,747 × 22,963,747
  4. Step 4: Simplify right side
    10,585,690x = 527,333,676,280,009
  5. Step 5: Solve for x
    x = 527,333,676,280,009/10,585,690
  6. Step 6: Final answer
    x = 49,815,711.24

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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.