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Finding the Third Proportional to 1,332,309,243 and 2,887,026,423

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Solution

The third proportional to 1,332,309,243 and 2,887,026,423 is: 6,255,996,204.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332,309,243 : 2,887,026,423 = 2,887,026,423 : x
  2. Step 2: Convert to fraction form
    1,332,309,243/2,887,026,423 = 2,887,026,423/x
  3. Step 3: Cross multiply
    1,332,309,243x = 2,887,026,423 × 2,887,026,423
  4. Step 4: Simplify right side
    1,332,309,243x = 8,334,921,567,100,175,360
  5. Step 5: Solve for x
    x = 8,334,921,567,100,175,360/1,332,309,243
  6. Step 6: Final answer
    x = 6,255,996,204.25

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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.