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Finding the Third Proportional to 47,301,811 and 101,986,934

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Solution

The third proportional to 47,301,811 and 101,986,934 is: 219,892,948.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,301,811 : 101,986,934 = 101,986,934 : x
  2. Step 2: Convert to fraction form
    47,301,811/101,986,934 = 101,986,934/x
  3. Step 3: Cross multiply
    47,301,811x = 101,986,934 × 101,986,934
  4. Step 4: Simplify right side
    47,301,811x = 10,401,334,706,720,356
  5. Step 5: Solve for x
    x = 10,401,334,706,720,356/47,301,811
  6. Step 6: Final answer
    x = 219,892,948.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.