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Finding the Third Proportional to 656,760,209.63 and 1,427,836,367.25

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Solution

The third proportional to 656,760,209.63 and 1,427,836,367.25 is: 3,104,202,510.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,760,209.63 : 1,427,836,367.25 = 1,427,836,367.25 : x
  2. Step 2: Convert to fraction form
    656,760,209.63/1,427,836,367.25 = 1,427,836,367.25/x
  3. Step 3: Cross multiply
    656,760,209.63x = 1,427,836,367.25 × 1,427,836,367.25
  4. Step 4: Simplify right side
    656,760,209.63x = 2,038,716,691,641,676,800
  5. Step 5: Solve for x
    x = 2,038,716,691,641,676,800/656,760,209.63
  6. Step 6: Final answer
    x = 3,104,202,510.69

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