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Finding the Third Proportional to 1,118,775,746 and 1,755,029,019

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Solution

The third proportional to 1,118,775,746 and 1,755,029,019 is: 2,753,122,659.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118,775,746 : 1,755,029,019 = 1,755,029,019 : x
  2. Step 2: Convert to fraction form
    1,118,775,746/1,755,029,019 = 1,755,029,019/x
  3. Step 3: Cross multiply
    1,118,775,746x = 1,755,029,019 × 1,755,029,019
  4. Step 4: Simplify right side
    1,118,775,746x = 3,080,126,857,532,102,144
  5. Step 5: Solve for x
    x = 3,080,126,857,532,102,144/1,118,775,746
  6. Step 6: Final answer
    x = 2,753,122,659.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.