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Finding the Third Proportional to 47,851,036 and 104,966,120

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Solution

The third proportional to 47,851,036 and 104,966,120 is: 230,253,872.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,851,036 : 104,966,120 = 104,966,120 : x
  2. Step 2: Convert to fraction form
    47,851,036/104,966,120 = 104,966,120/x
  3. Step 3: Cross multiply
    47,851,036x = 104,966,120 × 104,966,120
  4. Step 4: Simplify right side
    47,851,036x = 11,017,886,347,854,400
  5. Step 5: Solve for x
    x = 11,017,886,347,854,400/47,851,036
  6. Step 6: Final answer
    x = 230,253,872.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.