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Finding the Third Proportional to 31,077,103.50 and 48,750,804

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Solution

The third proportional to 31,077,103.50 and 48,750,804 is: 76,475,624.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,077,103.50 : 48,750,804 = 48,750,804 : x
  2. Step 2: Convert to fraction form
    31,077,103.50/48,750,804 = 48,750,804/x
  3. Step 3: Cross multiply
    31,077,103.50x = 48,750,804 × 48,750,804
  4. Step 4: Simplify right side
    31,077,103.50x = 2,376,640,890,646,416
  5. Step 5: Solve for x
    x = 2,376,640,890,646,416/31,077,103.50
  6. Step 6: Final answer
    x = 76,475,624.27

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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.