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Finding the Third Proportional to 752,803,047 and 1,630,671,876

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Solution

The third proportional to 752,803,047 and 1,630,671,876 is: 3,532,252,928.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,803,047 : 1,630,671,876 = 1,630,671,876 : x
  2. Step 2: Convert to fraction form
    752,803,047/1,630,671,876 = 1,630,671,876/x
  3. Step 3: Cross multiply
    752,803,047x = 1,630,671,876 × 1,630,671,876
  4. Step 4: Simplify right side
    752,803,047x = 2,659,090,767,177,359,360
  5. Step 5: Solve for x
    x = 2,659,090,767,177,359,360/752,803,047
  6. Step 6: Final answer
    x = 3,532,252,928.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.