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Finding the Third Proportional to 47,047,707 and 101,914,560

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Solution

The third proportional to 47,047,707 and 101,914,560 is: 220,766,923.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,047,707 : 101,914,560 = 101,914,560 : x
  2. Step 2: Convert to fraction form
    47,047,707/101,914,560 = 101,914,560/x
  3. Step 3: Cross multiply
    47,047,707x = 101,914,560 × 101,914,560
  4. Step 4: Simplify right side
    47,047,707x = 10,386,577,539,993,600
  5. Step 5: Solve for x
    x = 10,386,577,539,993,600/47,047,707
  6. Step 6: Final answer
    x = 220,766,923.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.