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Finding the Third Proportional to 7,098,912 and 10,644,896

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Solution

The third proportional to 7,098,912 and 10,644,896 is: 15,962,137.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098,912 : 10,644,896 = 10,644,896 : x
  2. Step 2: Convert to fraction form
    7,098,912/10,644,896 = 10,644,896/x
  3. Step 3: Cross multiply
    7,098,912x = 10,644,896 × 10,644,896
  4. Step 4: Simplify right side
    7,098,912x = 113,313,810,850,816
  5. Step 5: Solve for x
    x = 113,313,810,850,816/7,098,912
  6. Step 6: Final answer
    x = 15,962,137.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.