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Finding the Third Proportional to 1,798,531,521 and 2,697,797,100

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Solution

The third proportional to 1,798,531,521 and 2,697,797,100 is: 4,046,695,377.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798,531,521 : 2,697,797,100 = 2,697,797,100 : x
  2. Step 2: Convert to fraction form
    1,798,531,521/2,697,797,100 = 2,697,797,100/x
  3. Step 3: Cross multiply
    1,798,531,521x = 2,697,797,100 × 2,697,797,100
  4. Step 4: Simplify right side
    1,798,531,521x = 7,278,109,192,768,409,600
  5. Step 5: Solve for x
    x = 7,278,109,192,768,409,600/1,798,531,521
  6. Step 6: Final answer
    x = 4,046,695,377.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.