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Finding the Third Proportional to 34,127,271 and 48,289,041

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Solution

The third proportional to 34,127,271 and 48,289,041 is: 68,327,510.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,127,271 : 48,289,041 = 48,289,041 : x
  2. Step 2: Convert to fraction form
    34,127,271/48,289,041 = 48,289,041/x
  3. Step 3: Cross multiply
    34,127,271x = 48,289,041 × 48,289,041
  4. Step 4: Simplify right side
    34,127,271x = 2,331,831,480,699,681
  5. Step 5: Solve for x
    x = 2,331,831,480,699,681/34,127,271
  6. Step 6: Final answer
    x = 68,327,510.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.