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Finding the Third Proportional to 10,585,701 and 22,963,770

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Solution

The third proportional to 10,585,701 and 22,963,770 is: 49,815,759.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585,701 : 22,963,770 = 22,963,770 : x
  2. Step 2: Convert to fraction form
    10,585,701/22,963,770 = 22,963,770/x
  3. Step 3: Cross multiply
    10,585,701x = 22,963,770 × 22,963,770
  4. Step 4: Simplify right side
    10,585,701x = 527,334,732,612,900
  5. Step 5: Solve for x
    x = 527,334,732,612,900/10,585,701
  6. Step 6: Final answer
    x = 49,815,759.26

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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.