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Finding the Third Proportional to 6,462,716 and 9,569,292

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Solution

The third proportional to 6,462,716 and 9,569,292 is: 14,169,174.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462,716 : 9,569,292 = 9,569,292 : x
  2. Step 2: Convert to fraction form
    6,462,716/9,569,292 = 9,569,292/x
  3. Step 3: Cross multiply
    6,462,716x = 9,569,292 × 9,569,292
  4. Step 4: Simplify right side
    6,462,716x = 91,571,349,381,264
  5. Step 5: Solve for x
    x = 91,571,349,381,264/6,462,716
  6. Step 6: Final answer
    x = 14,169,174.29

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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.