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Finding the Third Proportional to 10,585,226 and 22,962,820

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Solution

The third proportional to 10,585,226 and 22,962,820 is: 49,813,872.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585,226 : 22,962,820 = 22,962,820 : x
  2. Step 2: Convert to fraction form
    10,585,226/22,962,820 = 22,962,820/x
  3. Step 3: Cross multiply
    10,585,226x = 22,962,820 × 22,962,820
  4. Step 4: Simplify right side
    10,585,226x = 527,291,102,352,400
  5. Step 5: Solve for x
    x = 527,291,102,352,400/10,585,226
  6. Step 6: Final answer
    x = 49,813,872.88

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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.