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Finding the Third Proportional to 2,708,013,982 and 5,896,780,250

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Solution

The third proportional to 2,708,013,982 and 5,896,780,250 is: 12,840,412,770.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708,013,982 : 5,896,780,250 = 5,896,780,250 : x
  2. Step 2: Convert to fraction form
    2,708,013,982/5,896,780,250 = 5,896,780,250/x
  3. Step 3: Cross multiply
    2,708,013,982x = 5,896,780,250 × 5,896,780,250
  4. Step 4: Simplify right side
    2,708,013,982x = 34,772,017,316,790,063,104
  5. Step 5: Solve for x
    x = 34,772,017,316,790,063,104/2,708,013,982
  6. Step 6: Final answer
    x = 12,840,412,770.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.