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Finding the Third Proportional to 9,840,466.50 and 13,247,216.25

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Solution

The third proportional to 9,840,466.50 and 13,247,216.25 is: 17,833,375.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840,466.50 : 13,247,216.25 = 13,247,216.25 : x
  2. Step 2: Convert to fraction form
    9,840,466.50/13,247,216.25 = 13,247,216.25/x
  3. Step 3: Cross multiply
    9,840,466.50x = 13,247,216.25 × 13,247,216.25
  4. Step 4: Simplify right side
    9,840,466.50x = 175,488,738,374,264.06
  5. Step 5: Solve for x
    x = 175,488,738,374,264.06/9,840,466.50
  6. Step 6: Final answer
    x = 17,833,375.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.