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Finding the Third Proportional to 6,998,574 and 10,007,972.25

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Solution

The third proportional to 6,998,574 and 10,007,972.25 is: 14,311,416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998,574 : 10,007,972.25 = 10,007,972.25 : x
  2. Step 2: Convert to fraction form
    6,998,574/10,007,972.25 = 10,007,972.25/x
  3. Step 3: Cross multiply
    6,998,574x = 10,007,972.25 × 10,007,972.25
  4. Step 4: Simplify right side
    6,998,574x = 100,159,508,556,770.06
  5. Step 5: Solve for x
    x = 100,159,508,556,770.06/6,998,574
  6. Step 6: Final answer
    x = 14,311,416.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.