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Finding the Third Proportional to 818,677,514.18 and 1,780,795,984.36

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Solution

The third proportional to 818,677,514.18 and 1,780,795,984.36 is: 3,873,606,252.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,677,514.18 : 1,780,795,984.36 = 1,780,795,984.36 : x
  2. Step 2: Convert to fraction form
    818,677,514.18/1,780,795,984.36 = 1,780,795,984.36/x
  3. Step 3: Cross multiply
    818,677,514.18x = 1,780,795,984.36 × 1,780,795,984.36
  4. Step 4: Simplify right side
    818,677,514.18x = 3,171,234,337,910,564,352
  5. Step 5: Solve for x
    x = 3,171,234,337,910,564,352/818,677,514.18
  6. Step 6: Final answer
    x = 3,873,606,252.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.