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Finding the Third Proportional to 47,693,360 and 103,309,964

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Solution

The third proportional to 47,693,360 and 103,309,964 is: 223,782,695.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,693,360 : 103,309,964 = 103,309,964 : x
  2. Step 2: Convert to fraction form
    47,693,360/103,309,964 = 103,309,964/x
  3. Step 3: Cross multiply
    47,693,360x = 103,309,964 × 103,309,964
  4. Step 4: Simplify right side
    47,693,360x = 10,672,948,661,681,296
  5. Step 5: Solve for x
    x = 10,672,948,661,681,296/47,693,360
  6. Step 6: Final answer
    x = 223,782,695.57

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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.