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Finding the Third Proportional to 656,760,207 and 1,427,836,362

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Solution

The third proportional to 656,760,207 and 1,427,836,362 is: 3,104,202,500.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,760,207 : 1,427,836,362 = 1,427,836,362 : x
  2. Step 2: Convert to fraction form
    656,760,207/1,427,836,362 = 1,427,836,362/x
  3. Step 3: Cross multiply
    656,760,207x = 1,427,836,362 × 1,427,836,362
  4. Step 4: Simplify right side
    656,760,207x = 2,038,716,676,649,394,944
  5. Step 5: Solve for x
    x = 2,038,716,676,649,394,944/656,760,207
  6. Step 6: Final answer
    x = 3,104,202,500.27

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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.