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Finding the Third Proportional to 53,704,380 and 82,595,340

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Solution

The third proportional to 53,704,380 and 82,595,340 is: 127,028,562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,704,380 : 82,595,340 = 82,595,340 : x
  2. Step 2: Convert to fraction form
    53,704,380/82,595,340 = 82,595,340/x
  3. Step 3: Cross multiply
    53,704,380x = 82,595,340 × 82,595,340
  4. Step 4: Simplify right side
    53,704,380x = 6,821,990,189,715,600
  5. Step 5: Solve for x
    x = 6,821,990,189,715,600/53,704,380
  6. Step 6: Final answer
    x = 127,028,562.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.