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Finding the Third Proportional to 10,226,082 and 22,282,692

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Solution

The third proportional to 10,226,082 and 22,282,692 is: 48,554,115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226,082 : 22,282,692 = 22,282,692 : x
  2. Step 2: Convert to fraction form
    10,226,082/22,282,692 = 22,282,692/x
  3. Step 3: Cross multiply
    10,226,082x = 22,282,692 × 22,282,692
  4. Step 4: Simplify right side
    10,226,082x = 496,518,362,766,864
  5. Step 5: Solve for x
    x = 496,518,362,766,864/10,226,082
  6. Step 6: Final answer
    x = 48,554,115.13

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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.