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Finding the Third Proportional to 1,013,071,754 and 1,513,644,027

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Solution

The third proportional to 1,013,071,754 and 1,513,644,027 is: 2,261,555,740.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,071,754 : 1,513,644,027 = 1,513,644,027 : x
  2. Step 2: Convert to fraction form
    1,013,071,754/1,513,644,027 = 1,513,644,027/x
  3. Step 3: Cross multiply
    1,013,071,754x = 1,513,644,027 × 1,513,644,027
  4. Step 4: Simplify right side
    1,013,071,754x = 2,291,118,240,472,776,704
  5. Step 5: Solve for x
    x = 2,291,118,240,472,776,704/1,013,071,754
  6. Step 6: Final answer
    x = 2,261,555,740.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.