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Finding the Third Proportional to 47,047,176 and 101,302,920

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Solution

The third proportional to 47,047,176 and 101,302,920 is: 218,127,472.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,047,176 : 101,302,920 = 101,302,920 : x
  2. Step 2: Convert to fraction form
    47,047,176/101,302,920 = 101,302,920/x
  3. Step 3: Cross multiply
    47,047,176x = 101,302,920 × 101,302,920
  4. Step 4: Simplify right side
    47,047,176x = 10,262,281,600,526,400
  5. Step 5: Solve for x
    x = 10,262,281,600,526,400/47,047,176
  6. Step 6: Final answer
    x = 218,127,472.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.