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Finding the Third Proportional to 376,370,254 and 815,281,592

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Solution

The third proportional to 376,370,254 and 815,281,592 is: 1,766,037,743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,370,254 : 815,281,592 = 815,281,592 : x
  2. Step 2: Convert to fraction form
    376,370,254/815,281,592 = 815,281,592/x
  3. Step 3: Cross multiply
    376,370,254x = 815,281,592 × 815,281,592
  4. Step 4: Simplify right side
    376,370,254x = 664,684,074,254,054,400
  5. Step 5: Solve for x
    x = 664,684,074,254,054,400/376,370,254
  6. Step 6: Final answer
    x = 1,766,037,743.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.