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Finding the Third Proportional to 10,585,210 and 22,962,789

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Solution

The third proportional to 10,585,210 and 22,962,789 is: 49,813,813.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585,210 : 22,962,789 = 22,962,789 : x
  2. Step 2: Convert to fraction form
    10,585,210/22,962,789 = 22,962,789/x
  3. Step 3: Cross multiply
    10,585,210x = 22,962,789 × 22,962,789
  4. Step 4: Simplify right side
    10,585,210x = 527,289,678,658,521
  5. Step 5: Solve for x
    x = 527,289,678,658,521/10,585,210
  6. Step 6: Final answer
    x = 49,813,813.68

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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.