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Finding the Third Proportional to 34,043,669 and 73,046,763

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Solution

The third proportional to 34,043,669 and 73,046,763 is: 156,734,856.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,043,669 : 73,046,763 = 73,046,763 : x
  2. Step 2: Convert to fraction form
    34,043,669/73,046,763 = 73,046,763/x
  3. Step 3: Cross multiply
    34,043,669x = 73,046,763 × 73,046,763
  4. Step 4: Simplify right side
    34,043,669x = 5,335,829,584,778,169
  5. Step 5: Solve for x
    x = 5,335,829,584,778,169/34,043,669
  6. Step 6: Final answer
    x = 156,734,856.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.