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Finding the Third Proportional to 6,624,605.25 and 9,970,077.38

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Solution

The third proportional to 6,624,605.25 and 9,970,077.38 is: 15,005,036.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,624,605.25 : 9,970,077.38 = 9,970,077.38 : x
  2. Step 2: Convert to fraction form
    6,624,605.25/9,970,077.38 = 9,970,077.38/x
  3. Step 3: Cross multiply
    6,624,605.25x = 9,970,077.38 × 9,970,077.38
  4. Step 4: Simplify right side
    6,624,605.25x = 99,402,442,863,486.89
  5. Step 5: Solve for x
    x = 99,402,442,863,486.89/6,624,605.25
  6. Step 6: Final answer
    x = 15,005,036.39

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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.