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Finding the Third Proportional to 1,144,381,005 and 2,471,708,898

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Solution

The third proportional to 1,144,381,005 and 2,471,708,898 is: 5,338,558,443.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144,381,005 : 2,471,708,898 = 2,471,708,898 : x
  2. Step 2: Convert to fraction form
    1,144,381,005/2,471,708,898 = 2,471,708,898/x
  3. Step 3: Cross multiply
    1,144,381,005x = 2,471,708,898 × 2,471,708,898
  4. Step 4: Simplify right side
    1,144,381,005x = 6,109,344,876,452,374,528
  5. Step 5: Solve for x
    x = 6,109,344,876,452,374,528/1,144,381,005
  6. Step 6: Final answer
    x = 5,338,558,443.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.