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Finding the Third Proportional to 10,226,084 and 22,282,696

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Solution

The third proportional to 10,226,084 and 22,282,696 is: 48,554,123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226,084 : 22,282,696 = 22,282,696 : x
  2. Step 2: Convert to fraction form
    10,226,084/22,282,696 = 22,282,696/x
  3. Step 3: Cross multiply
    10,226,084x = 22,282,696 × 22,282,696
  4. Step 4: Simplify right side
    10,226,084x = 496,518,541,028,416
  5. Step 5: Solve for x
    x = 496,518,541,028,416/10,226,084
  6. Step 6: Final answer
    x = 48,554,123.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.