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Finding the Third Proportional to 918,789,864.75 and 1,412,245,864.13

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Solution

The third proportional to 918,789,864.75 and 1,412,245,864.13 is: 2,170,723,097.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,789,864.75 : 1,412,245,864.13 = 1,412,245,864.13 : x
  2. Step 2: Convert to fraction form
    918,789,864.75/1,412,245,864.13 = 1,412,245,864.13/x
  3. Step 3: Cross multiply
    918,789,864.75x = 1,412,245,864.13 × 1,412,245,864.13
  4. Step 4: Simplify right side
    918,789,864.75x = 1,994,438,380,738,168,064
  5. Step 5: Solve for x
    x = 1,994,438,380,738,168,064/918,789,864.75
  6. Step 6: Final answer
    x = 2,170,723,097.04

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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.