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Finding the Third Proportional to 10,585,706 and 22,963,778

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Solution

The third proportional to 10,585,706 and 22,963,778 is: 49,815,770.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585,706 : 22,963,778 = 22,963,778 : x
  2. Step 2: Convert to fraction form
    10,585,706/22,963,778 = 22,963,778/x
  3. Step 3: Cross multiply
    10,585,706x = 22,963,778 × 22,963,778
  4. Step 4: Simplify right side
    10,585,706x = 527,335,100,033,284
  5. Step 5: Solve for x
    x = 527,335,100,033,284/10,585,706
  6. Step 6: Final answer
    x = 49,815,770.44

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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.