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Finding the Third Proportional to 2,506,344,744 and 5,429,241,168

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Solution

The third proportional to 2,506,344,744 and 5,429,241,168 is: 11,760,816,117.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506,344,744 : 5,429,241,168 = 5,429,241,168 : x
  2. Step 2: Convert to fraction form
    2,506,344,744/5,429,241,168 = 5,429,241,168/x
  3. Step 3: Cross multiply
    2,506,344,744x = 5,429,241,168 × 5,429,241,168
  4. Step 4: Simplify right side
    2,506,344,744x = 29,476,659,660,306,006,016
  5. Step 5: Solve for x
    x = 29,476,659,660,306,006,016/2,506,344,744
  6. Step 6: Final answer
    x = 11,760,816,117.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.