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Finding the Third Proportional to 6,326,640 and 9,804,560

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Solution

The third proportional to 6,326,640 and 9,804,560 is: 15,194,383.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326,640 : 9,804,560 = 9,804,560 : x
  2. Step 2: Convert to fraction form
    6,326,640/9,804,560 = 9,804,560/x
  3. Step 3: Cross multiply
    6,326,640x = 9,804,560 × 9,804,560
  4. Step 4: Simplify right side
    6,326,640x = 96,129,396,793,600
  5. Step 5: Solve for x
    x = 96,129,396,793,600/6,326,640
  6. Step 6: Final answer
    x = 15,194,383.87

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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.