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Finding the Third Proportional to 2,857,977,432 and 6,129,475,632

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Solution

The third proportional to 2,857,977,432 and 6,129,475,632 is: 13,145,825,121.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857,977,432 : 6,129,475,632 = 6,129,475,632 : x
  2. Step 2: Convert to fraction form
    2,857,977,432/6,129,475,632 = 6,129,475,632/x
  3. Step 3: Cross multiply
    2,857,977,432x = 6,129,475,632 × 6,129,475,632
  4. Step 4: Simplify right side
    2,857,977,432x = 37,570,471,523,281,797,120
  5. Step 5: Solve for x
    x = 37,570,471,523,281,797,120/2,857,977,432
  6. Step 6: Final answer
    x = 13,145,825,121.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.