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Finding the Third Proportional to 51,768,427 and 82,413,659

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Solution

The third proportional to 51,768,427 and 82,413,659 is: 131,199,875.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,768,427 : 82,413,659 = 82,413,659 : x
  2. Step 2: Convert to fraction form
    51,768,427/82,413,659 = 82,413,659/x
  3. Step 3: Cross multiply
    51,768,427x = 82,413,659 × 82,413,659
  4. Step 4: Simplify right side
    51,768,427x = 6,792,011,189,768,281
  5. Step 5: Solve for x
    x = 6,792,011,189,768,281/51,768,427
  6. Step 6: Final answer
    x = 131,199,875.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.