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Finding the Third Proportional to 2,708,013,980 and 5,896,780,246

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Solution

The third proportional to 2,708,013,980 and 5,896,780,246 is: 12,840,412,762.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708,013,980 : 5,896,780,246 = 5,896,780,246 : x
  2. Step 2: Convert to fraction form
    2,708,013,980/5,896,780,246 = 5,896,780,246/x
  3. Step 3: Cross multiply
    2,708,013,980x = 5,896,780,246 × 5,896,780,246
  4. Step 4: Simplify right side
    2,708,013,980x = 34,772,017,269,615,820,800
  5. Step 5: Solve for x
    x = 34,772,017,269,615,820,800/2,708,013,980
  6. Step 6: Final answer
    x = 12,840,412,762.42

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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.