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Finding the Third Proportional to 34,127,207 and 48,288,951.50

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Solution

The third proportional to 34,127,207 and 48,288,951.50 is: 68,327,385.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,127,207 : 48,288,951.50 = 48,288,951.50 : x
  2. Step 2: Convert to fraction form
    34,127,207/48,288,951.50 = 48,288,951.50/x
  3. Step 3: Cross multiply
    34,127,207x = 48,288,951.50 × 48,288,951.50
  4. Step 4: Simplify right side
    34,127,207x = 2,331,822,836,969,352
  5. Step 5: Solve for x
    x = 2,331,822,836,969,352/34,127,207
  6. Step 6: Final answer
    x = 68,327,385.74

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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.