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Finding the Third Proportional to 1,149,527,733 and 2,516,680,419

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Solution

The third proportional to 1,149,527,733 and 2,516,680,419 is: 5,509,810,811.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149,527,733 : 2,516,680,419 = 2,516,680,419 : x
  2. Step 2: Convert to fraction form
    1,149,527,733/2,516,680,419 = 2,516,680,419/x
  3. Step 3: Cross multiply
    1,149,527,733x = 2,516,680,419 × 2,516,680,419
  4. Step 4: Simplify right side
    1,149,527,733x = 6,333,680,331,378,015,232
  5. Step 5: Solve for x
    x = 6,333,680,331,378,015,232/1,149,527,733
  6. Step 6: Final answer
    x = 5,509,810,811.48

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.