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Finding the Third Proportional to 47,974,731 and 105,283,578

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Solution

The third proportional to 47,974,731 and 105,283,578 is: 231,051,463.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,974,731 : 105,283,578 = 105,283,578 : x
  2. Step 2: Convert to fraction form
    47,974,731/105,283,578 = 105,283,578/x
  3. Step 3: Cross multiply
    47,974,731x = 105,283,578 × 105,283,578
  4. Step 4: Simplify right side
    47,974,731x = 11,084,631,796,482,084
  5. Step 5: Solve for x
    x = 11,084,631,796,482,084/47,974,731
  6. Step 6: Final answer
    x = 231,051,463.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.