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Finding the Third Proportional to 53,396,856 and 80,237,454

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Solution

The third proportional to 53,396,856 and 80,237,454 is: 120,569,814.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,396,856 : 80,237,454 = 80,237,454 : x
  2. Step 2: Convert to fraction form
    53,396,856/80,237,454 = 80,237,454/x
  3. Step 3: Cross multiply
    53,396,856x = 80,237,454 × 80,237,454
  4. Step 4: Simplify right side
    53,396,856x = 6,438,049,024,402,116
  5. Step 5: Solve for x
    x = 6,438,049,024,402,116/53,396,856
  6. Step 6: Final answer
    x = 120,569,814.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.