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Finding the Third Proportional to 6,462,718 and 9,569,295

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Solution

The third proportional to 6,462,718 and 9,569,295 is: 14,169,178.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462,718 : 9,569,295 = 9,569,295 : x
  2. Step 2: Convert to fraction form
    6,462,718/9,569,295 = 9,569,295/x
  3. Step 3: Cross multiply
    6,462,718x = 9,569,295 × 9,569,295
  4. Step 4: Simplify right side
    6,462,718x = 91,571,406,797,025
  5. Step 5: Solve for x
    x = 91,571,406,797,025/6,462,718
  6. Step 6: Final answer
    x = 14,169,178.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.