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Finding the Third Proportional to 32,519,904 and 47,558,540

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Solution

The third proportional to 32,519,904 and 47,558,540 is: 69,551,703.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,519,904 : 47,558,540 = 47,558,540 : x
  2. Step 2: Convert to fraction form
    32,519,904/47,558,540 = 47,558,540/x
  3. Step 3: Cross multiply
    32,519,904x = 47,558,540 × 47,558,540
  4. Step 4: Simplify right side
    32,519,904x = 2,261,814,726,931,600
  5. Step 5: Solve for x
    x = 2,261,814,726,931,600/32,519,904
  6. Step 6: Final answer
    x = 69,551,703.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.