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Finding the Third Proportional to 6,326,920 and 9,804,984

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Solution

The third proportional to 6,326,920 and 9,804,984 is: 15,195,025.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326,920 : 9,804,984 = 9,804,984 : x
  2. Step 2: Convert to fraction form
    6,326,920/9,804,984 = 9,804,984/x
  3. Step 3: Cross multiply
    6,326,920x = 9,804,984 × 9,804,984
  4. Step 4: Simplify right side
    6,326,920x = 96,137,711,240,256
  5. Step 5: Solve for x
    x = 96,137,711,240,256/6,326,920
  6. Step 6: Final answer
    x = 15,195,025.58

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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.