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Finding the Third Proportional to 2,708,013,982.50 and 5,896,780,254

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Solution

The third proportional to 2,708,013,982.50 and 5,896,780,254 is: 12,840,412,785.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708,013,982.50 : 5,896,780,254 = 5,896,780,254 : x
  2. Step 2: Convert to fraction form
    2,708,013,982.50/5,896,780,254 = 5,896,780,254/x
  3. Step 3: Cross multiply
    2,708,013,982.50x = 5,896,780,254 × 5,896,780,254
  4. Step 4: Simplify right side
    2,708,013,982.50x = 34,772,017,363,964,305,408
  5. Step 5: Solve for x
    x = 34,772,017,363,964,305,408/2,708,013,982.50
  6. Step 6: Final answer
    x = 12,840,412,785.41

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