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Finding the Third Proportional to 918,793,054.13 and 1,412,251,012.69

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Solution

The third proportional to 918,793,054.13 and 1,412,251,012.69 is: 2,170,731,389.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,793,054.13 : 1,412,251,012.69 = 1,412,251,012.69 : x
  2. Step 2: Convert to fraction form
    918,793,054.13/1,412,251,012.69 = 1,412,251,012.69/x
  3. Step 3: Cross multiply
    918,793,054.13x = 1,412,251,012.69 × 1,412,251,012.69
  4. Step 4: Simplify right side
    918,793,054.13x = 1,994,452,922,836,869,376
  5. Step 5: Solve for x
    x = 1,994,452,922,836,869,376/918,793,054.13
  6. Step 6: Final answer
    x = 2,170,731,389.27

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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.