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Finding the Third Proportional to 34,750,911 and 47,142,760.50

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Solution

The third proportional to 34,750,911 and 47,142,760.50 is: 63,953,427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,750,911 : 47,142,760.50 = 47,142,760.50 : x
  2. Step 2: Convert to fraction form
    34,750,911/47,142,760.50 = 47,142,760.50/x
  3. Step 3: Cross multiply
    34,750,911x = 47,142,760.50 × 47,142,760.50
  4. Step 4: Simplify right side
    34,750,911x = 2,222,439,867,560,360.25
  5. Step 5: Solve for x
    x = 2,222,439,867,560,360.25/34,750,911
  6. Step 6: Final answer
    x = 63,953,427.51

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.