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Finding the Third Proportional to 7,109,678 and 10,132,437

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Solution

The third proportional to 7,109,678 and 10,132,437 is: 14,440,355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109,678 : 10,132,437 = 10,132,437 : x
  2. Step 2: Convert to fraction form
    7,109,678/10,132,437 = 10,132,437/x
  3. Step 3: Cross multiply
    7,109,678x = 10,132,437 × 10,132,437
  4. Step 4: Simplify right side
    7,109,678x = 102,666,279,558,969
  5. Step 5: Solve for x
    x = 102,666,279,558,969/7,109,678
  6. Step 6: Final answer
    x = 14,440,355.75

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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.