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Finding the Third Proportional to 45,899,571 and 99,874,032

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Solution

The third proportional to 45,899,571 and 99,874,032 is: 217,318,420.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,899,571 : 99,874,032 = 99,874,032 : x
  2. Step 2: Convert to fraction form
    45,899,571/99,874,032 = 99,874,032/x
  3. Step 3: Cross multiply
    45,899,571x = 99,874,032 × 99,874,032
  4. Step 4: Simplify right side
    45,899,571x = 9,974,822,267,937,024
  5. Step 5: Solve for x
    x = 9,974,822,267,937,024/45,899,571
  6. Step 6: Final answer
    x = 217,318,420.43

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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.