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Finding the Third Proportional to 5,072,702.06 and 7,857,858.38

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Solution

The third proportional to 5,072,702.06 and 7,857,858.38 is: 12,172,198.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072,702.06 : 7,857,858.38 = 7,857,858.38 : x
  2. Step 2: Convert to fraction form
    5,072,702.06/7,857,858.38 = 7,857,858.38/x
  3. Step 3: Cross multiply
    5,072,702.06x = 7,857,858.38 × 7,857,858.38
  4. Step 4: Simplify right side
    5,072,702.06x = 61,745,938,241,557.64
  5. Step 5: Solve for x
    x = 61,745,938,241,557.64/5,072,702.06
  6. Step 6: Final answer
    x = 12,172,198.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.