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Finding the Third Proportional to 6,387,120 and 9,646,992

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Solution

The third proportional to 6,387,120 and 9,646,992 is: 14,570,644.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387,120 : 9,646,992 = 9,646,992 : x
  2. Step 2: Convert to fraction form
    6,387,120/9,646,992 = 9,646,992/x
  3. Step 3: Cross multiply
    6,387,120x = 9,646,992 × 9,646,992
  4. Step 4: Simplify right side
    6,387,120x = 93,064,454,648,064
  5. Step 5: Solve for x
    x = 93,064,454,648,064/6,387,120
  6. Step 6: Final answer
    x = 14,570,644.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.