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Finding the Third Proportional to 755,246,225.75 and 1,166,409,143.75

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Solution

The third proportional to 755,246,225.75 and 1,166,409,143.75 is: 1,801,412,895.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,246,225.75 : 1,166,409,143.75 = 1,166,409,143.75 : x
  2. Step 2: Convert to fraction form
    755,246,225.75/1,166,409,143.75 = 1,166,409,143.75/x
  3. Step 3: Cross multiply
    755,246,225.75x = 1,166,409,143.75 × 1,166,409,143.75
  4. Step 4: Simplify right side
    755,246,225.75x = 1,360,510,290,623,608,064
  5. Step 5: Solve for x
    x = 1,360,510,290,623,608,064/755,246,225.75
  6. Step 6: Final answer
    x = 1,801,412,895.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.