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Finding the Third Proportional to 9,706,655,486 and 20,912,776,708

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Solution

The third proportional to 9,706,655,486 and 20,912,776,708 is: 45,056,119,511.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706,655,486 : 20,912,776,708 = 20,912,776,708 : x
  2. Step 2: Convert to fraction form
    9,706,655,486/20,912,776,708 = 20,912,776,708/x
  3. Step 3: Cross multiply
    9,706,655,486x = 20,912,776,708 × 20,912,776,708
  4. Step 4: Simplify right side
    9,706,655,486x = 437,344,229,638,667,304,960
  5. Step 5: Solve for x
    x = 437,344,229,638,667,304,960/9,706,655,486
  6. Step 6: Final answer
    x = 45,056,119,511.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.