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Finding the Third Proportional to 4,342,179.75 and 6,386,970.38

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Solution

The third proportional to 4,342,179.75 and 6,386,970.38 is: 9,394,680.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342,179.75 : 6,386,970.38 = 6,386,970.38 : x
  2. Step 2: Convert to fraction form
    4,342,179.75/6,386,970.38 = 6,386,970.38/x
  3. Step 3: Cross multiply
    4,342,179.75x = 6,386,970.38 × 6,386,970.38
  4. Step 4: Simplify right side
    4,342,179.75x = 40,793,390,571,127.64
  5. Step 5: Solve for x
    x = 40,793,390,571,127.64/4,342,179.75
  6. Step 6: Final answer
    x = 9,394,680.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.