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Finding the Third Proportional to 595,143,972 and 1,281,484,872

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Solution

The third proportional to 595,143,972 and 1,281,484,872 is: 2,759,338,167.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,143,972 : 1,281,484,872 = 1,281,484,872 : x
  2. Step 2: Convert to fraction form
    595,143,972/1,281,484,872 = 1,281,484,872/x
  3. Step 3: Cross multiply
    595,143,972x = 1,281,484,872 × 1,281,484,872
  4. Step 4: Simplify right side
    595,143,972x = 1,642,203,477,164,856,320
  5. Step 5: Solve for x
    x = 1,642,203,477,164,856,320/595,143,972
  6. Step 6: Final answer
    x = 2,759,338,167.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.