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Finding the Third Proportional to 31,077,230 and 48,750,969

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Solution

The third proportional to 31,077,230 and 48,750,969 is: 76,475,830.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,077,230 : 48,750,969 = 48,750,969 : x
  2. Step 2: Convert to fraction form
    31,077,230/48,750,969 = 48,750,969/x
  3. Step 3: Cross multiply
    31,077,230x = 48,750,969 × 48,750,969
  4. Step 4: Simplify right side
    31,077,230x = 2,376,656,978,438,961
  5. Step 5: Solve for x
    x = 2,376,656,978,438,961/31,077,230
  6. Step 6: Final answer
    x = 76,475,830.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.