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Finding the Third Proportional to 1,246,105,562 and 2,658,998,548

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Solution

The third proportional to 1,246,105,562 and 2,658,998,548 is: 5,673,895,931.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246,105,562 : 2,658,998,548 = 2,658,998,548 : x
  2. Step 2: Convert to fraction form
    1,246,105,562/2,658,998,548 = 2,658,998,548/x
  3. Step 3: Cross multiply
    1,246,105,562x = 2,658,998,548 × 2,658,998,548
  4. Step 4: Simplify right side
    1,246,105,562x = 7,070,273,278,266,107,904
  5. Step 5: Solve for x
    x = 7,070,273,278,266,107,904/1,246,105,562
  6. Step 6: Final answer
    x = 5,673,895,931.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.