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Finding the Third Proportional to 47,425,092 and 109,782,261

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Solution

The third proportional to 47,425,092 and 109,782,261 is: 254,130,130.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,425,092 : 109,782,261 = 109,782,261 : x
  2. Step 2: Convert to fraction form
    47,425,092/109,782,261 = 109,782,261/x
  3. Step 3: Cross multiply
    47,425,092x = 109,782,261 × 109,782,261
  4. Step 4: Simplify right side
    47,425,092x = 12,052,144,830,272,120
  5. Step 5: Solve for x
    x = 12,052,144,830,272,120/47,425,092
  6. Step 6: Final answer
    x = 254,130,130.74

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.