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Finding the Third Proportional to 31,077,106 and 48,750,809

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Solution

The third proportional to 31,077,106 and 48,750,809 is: 76,475,633.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,077,106 : 48,750,809 = 48,750,809 : x
  2. Step 2: Convert to fraction form
    31,077,106/48,750,809 = 48,750,809/x
  3. Step 3: Cross multiply
    31,077,106x = 48,750,809 × 48,750,809
  4. Step 4: Simplify right side
    31,077,106x = 2,376,641,378,154,481
  5. Step 5: Solve for x
    x = 2,376,641,378,154,481/31,077,106
  6. Step 6: Final answer
    x = 76,475,633.80

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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.