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Finding the Third Proportional to 1,131,332,170 and 1,745,423,373

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Solution

The third proportional to 1,131,332,170 and 1,745,423,373 is: 2,692,845,507.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131,332,170 : 1,745,423,373 = 1,745,423,373 : x
  2. Step 2: Convert to fraction form
    1,131,332,170/1,745,423,373 = 1,745,423,373/x
  3. Step 3: Cross multiply
    1,131,332,170x = 1,745,423,373 × 1,745,423,373
  4. Step 4: Simplify right side
    1,131,332,170x = 3,046,502,751,014,696,960
  5. Step 5: Solve for x
    x = 3,046,502,751,014,696,960/1,131,332,170
  6. Step 6: Final answer
    x = 2,692,845,507.09

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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.