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Finding the Third Proportional to 185,946,405 and 405,373,641

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Solution

The third proportional to 185,946,405 and 405,373,641 is: 883,737,380.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,946,405 : 405,373,641 = 405,373,641 : x
  2. Step 2: Convert to fraction form
    185,946,405/405,373,641 = 405,373,641/x
  3. Step 3: Cross multiply
    185,946,405x = 405,373,641 × 405,373,641
  4. Step 4: Simplify right side
    185,946,405x = 164,327,788,817,596,896
  5. Step 5: Solve for x
    x = 164,327,788,817,596,896/185,946,405
  6. Step 6: Final answer
    x = 883,737,380.23

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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.