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Finding the Third Proportional to 7,107,648 and 10,129,824

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Solution

The third proportional to 7,107,648 and 10,129,824 is: 14,437,030.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107,648 : 10,129,824 = 10,129,824 : x
  2. Step 2: Convert to fraction form
    7,107,648/10,129,824 = 10,129,824/x
  3. Step 3: Cross multiply
    7,107,648x = 10,129,824 × 10,129,824
  4. Step 4: Simplify right side
    7,107,648x = 102,613,334,270,976
  5. Step 5: Solve for x
    x = 102,613,334,270,976/7,107,648
  6. Step 6: Final answer
    x = 14,437,030.97

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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.