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Finding the Third Proportional to 185,022,987 and 411,405,294

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Solution

The third proportional to 185,022,987 and 411,405,294 is: 914,774,529.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,022,987 : 411,405,294 = 411,405,294 : x
  2. Step 2: Convert to fraction form
    185,022,987/411,405,294 = 411,405,294/x
  3. Step 3: Cross multiply
    185,022,987x = 411,405,294 × 411,405,294
  4. Step 4: Simplify right side
    185,022,987x = 169,254,315,931,226,432
  5. Step 5: Solve for x
    x = 169,254,315,931,226,432/185,022,987
  6. Step 6: Final answer
    x = 914,774,529.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.