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Finding the Third Proportional to 10,585,696 and 22,963,760

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Solution

The third proportional to 10,585,696 and 22,963,760 is: 49,815,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585,696 : 22,963,760 = 22,963,760 : x
  2. Step 2: Convert to fraction form
    10,585,696/22,963,760 = 22,963,760/x
  3. Step 3: Cross multiply
    10,585,696x = 22,963,760 × 22,963,760
  4. Step 4: Simplify right side
    10,585,696x = 527,334,273,337,600
  5. Step 5: Solve for x
    x = 527,334,273,337,600/10,585,696
  6. Step 6: Final answer
    x = 49,815,739.40

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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.