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Finding the Third Proportional to 34,834,086 and 48,721,275

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Solution

The third proportional to 34,834,086 and 48,721,275 is: 68,144,823.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,834,086 : 48,721,275 = 48,721,275 : x
  2. Step 2: Convert to fraction form
    34,834,086/48,721,275 = 48,721,275/x
  3. Step 3: Cross multiply
    34,834,086x = 48,721,275 × 48,721,275
  4. Step 4: Simplify right side
    34,834,086x = 2,373,762,637,625,625
  5. Step 5: Solve for x
    x = 2,373,762,637,625,625/34,834,086
  6. Step 6: Final answer
    x = 68,144,823.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.