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Finding the Third Proportional to 775,966,530 and 1,681,088,260

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Solution

The third proportional to 775,966,530 and 1,681,088,260 is: 3,641,984,065.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,966,530 : 1,681,088,260 = 1,681,088,260 : x
  2. Step 2: Convert to fraction form
    775,966,530/1,681,088,260 = 1,681,088,260/x
  3. Step 3: Cross multiply
    775,966,530x = 1,681,088,260 × 1,681,088,260
  4. Step 4: Simplify right side
    775,966,530x = 2,826,057,737,909,827,584
  5. Step 5: Solve for x
    x = 2,826,057,737,909,827,584/775,966,530
  6. Step 6: Final answer
    x = 3,641,984,065.87

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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.