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Finding the Third Proportional to 32,253,760 and 46,472,928

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Solution

The third proportional to 32,253,760 and 46,472,928 is: 66,960,659.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,253,760 : 46,472,928 = 46,472,928 : x
  2. Step 2: Convert to fraction form
    32,253,760/46,472,928 = 46,472,928/x
  3. Step 3: Cross multiply
    32,253,760x = 46,472,928 × 46,472,928
  4. Step 4: Simplify right side
    32,253,760x = 2,159,733,036,893,184
  5. Step 5: Solve for x
    x = 2,159,733,036,893,184/32,253,760
  6. Step 6: Final answer
    x = 66,960,659.37

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.