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Finding the Third Proportional to 618,110,084 and 1,309,913,320

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Solution

The third proportional to 618,110,084 and 1,309,913,320 is: 2,775,998,888.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,110,084 : 1,309,913,320 = 1,309,913,320 : x
  2. Step 2: Convert to fraction form
    618,110,084/1,309,913,320 = 1,309,913,320/x
  3. Step 3: Cross multiply
    618,110,084x = 1,309,913,320 × 1,309,913,320
  4. Step 4: Simplify right side
    618,110,084x = 1,715,872,905,913,422,336
  5. Step 5: Solve for x
    x = 1,715,872,905,913,422,336/618,110,084
  6. Step 6: Final answer
    x = 2,775,998,888.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.