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Finding the Third Proportional to 185,036,881 and 411,434,062

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Solution

The third proportional to 185,036,881 and 411,434,062 is: 914,833,769.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,036,881 : 411,434,062 = 411,434,062 : x
  2. Step 2: Convert to fraction form
    185,036,881/411,434,062 = 411,434,062/x
  3. Step 3: Cross multiply
    185,036,881x = 411,434,062 × 411,434,062
  4. Step 4: Simplify right side
    185,036,881x = 169,277,987,373,819,840
  5. Step 5: Solve for x
    x = 169,277,987,373,819,840/185,036,881
  6. Step 6: Final answer
    x = 914,833,769.67

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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.