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Finding the Third Proportional to 3,153,079.41 and 6,829,127.72

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Solution

The third proportional to 3,153,079.41 and 6,829,127.72 is: 14,790,932.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153,079.41 : 6,829,127.72 = 6,829,127.72 : x
  2. Step 2: Convert to fraction form
    3,153,079.41/6,829,127.72 = 6,829,127.72/x
  3. Step 3: Cross multiply
    3,153,079.41x = 6,829,127.72 × 6,829,127.72
  4. Step 4: Simplify right side
    3,153,079.41x = 46,636,985,398,999.58
  5. Step 5: Solve for x
    x = 46,636,985,398,999.58/3,153,079.41
  6. Step 6: Final answer
    x = 14,790,932.73

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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.