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Finding the Third Proportional to 7,693,758 and 16,417,242

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Solution

The third proportional to 7,693,758 and 16,417,242 is: 35,031,753.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693,758 : 16,417,242 = 16,417,242 : x
  2. Step 2: Convert to fraction form
    7,693,758/16,417,242 = 16,417,242/x
  3. Step 3: Cross multiply
    7,693,758x = 16,417,242 × 16,417,242
  4. Step 4: Simplify right side
    7,693,758x = 269,525,834,886,564
  5. Step 5: Solve for x
    x = 269,525,834,886,564/7,693,758
  6. Step 6: Final answer
    x = 35,031,753.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.