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Finding the Third Proportional to 2,852,466.89 and 6,342,717.66

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Solution

The third proportional to 2,852,466.89 and 6,342,717.66 is: 14,103,605.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852,466.89 : 6,342,717.66 = 6,342,717.66 : x
  2. Step 2: Convert to fraction form
    2,852,466.89/6,342,717.66 = 6,342,717.66/x
  3. Step 3: Cross multiply
    2,852,466.89x = 6,342,717.66 × 6,342,717.66
  4. Step 4: Simplify right side
    2,852,466.89x = 40,230,067,266,905.49
  5. Step 5: Solve for x
    x = 40,230,067,266,905.49/2,852,466.89
  6. Step 6: Final answer
    x = 14,103,605.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.