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Finding the Third Proportional to 1,485,124,499 and 3,147,284,448

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Solution

The third proportional to 1,485,124,499 and 3,147,284,448 is: 6,669,743,447.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485,124,499 : 3,147,284,448 = 3,147,284,448 : x
  2. Step 2: Convert to fraction form
    1,485,124,499/3,147,284,448 = 3,147,284,448/x
  3. Step 3: Cross multiply
    1,485,124,499x = 3,147,284,448 × 3,147,284,448
  4. Step 4: Simplify right side
    1,485,124,499x = 9,905,399,396,622,663,680
  5. Step 5: Solve for x
    x = 9,905,399,396,622,663,680/1,485,124,499
  6. Step 6: Final answer
    x = 6,669,743,447.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.