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Finding the Third Proportional to 34,127,205 and 48,288,948.75

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Solution

The third proportional to 34,127,205 and 48,288,948.75 is: 68,327,381.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,127,205 : 48,288,948.75 = 48,288,948.75 : x
  2. Step 2: Convert to fraction form
    34,127,205/48,288,948.75 = 48,288,948.75/x
  3. Step 3: Cross multiply
    34,127,205x = 48,288,948.75 × 48,288,948.75
  4. Step 4: Simplify right side
    34,127,205x = 2,331,822,571,380,126.50
  5. Step 5: Solve for x
    x = 2,331,822,571,380,126.50/34,127,205
  6. Step 6: Final answer
    x = 68,327,381.96

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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.