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Finding the Third Proportional to 47,098,176 and 69,097,230

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Solution

The third proportional to 47,098,176 and 69,097,230 is: 101,371,806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,098,176 : 69,097,230 = 69,097,230 : x
  2. Step 2: Convert to fraction form
    47,098,176/69,097,230 = 69,097,230/x
  3. Step 3: Cross multiply
    47,098,176x = 69,097,230 × 69,097,230
  4. Step 4: Simplify right side
    47,098,176x = 4,774,427,193,672,900
  5. Step 5: Solve for x
    x = 4,774,427,193,672,900/47,098,176
  6. Step 6: Final answer
    x = 101,371,806.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.