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Finding the Third Proportional to 185,022,996 and 411,405,312

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Solution

The third proportional to 185,022,996 and 411,405,312 is: 914,774,565.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,022,996 : 411,405,312 = 411,405,312 : x
  2. Step 2: Convert to fraction form
    185,022,996/411,405,312 = 411,405,312/x
  3. Step 3: Cross multiply
    185,022,996x = 411,405,312 × 411,405,312
  4. Step 4: Simplify right side
    185,022,996x = 169,254,330,741,817,344
  5. Step 5: Solve for x
    x = 169,254,330,741,817,344/185,022,996
  6. Step 6: Final answer
    x = 914,774,565.33

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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.