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Finding the Third Proportional to 6,464,522.25 and 9,640,724.63

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Solution

The third proportional to 6,464,522.25 and 9,640,724.63 is: 14,377,484.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464,522.25 : 9,640,724.63 = 9,640,724.63 : x
  2. Step 2: Convert to fraction form
    6,464,522.25/9,640,724.63 = 9,640,724.63/x
  3. Step 3: Cross multiply
    6,464,522.25x = 9,640,724.63 × 9,640,724.63
  4. Step 4: Simplify right side
    6,464,522.25x = 92,943,571,295,081.39
  5. Step 5: Solve for x
    x = 92,943,571,295,081.39/6,464,522.25
  6. Step 6: Final answer
    x = 14,377,484.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.