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Finding the Third Proportional to 6,562,560 and 14,274,048

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Solution

The third proportional to 6,562,560 and 14,274,048 is: 31,047,098.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562,560 : 14,274,048 = 14,274,048 : x
  2. Step 2: Convert to fraction form
    6,562,560/14,274,048 = 14,274,048/x
  3. Step 3: Cross multiply
    6,562,560x = 14,274,048 × 14,274,048
  4. Step 4: Simplify right side
    6,562,560x = 203,748,446,306,304
  5. Step 5: Solve for x
    x = 203,748,446,306,304/6,562,560
  6. Step 6: Final answer
    x = 31,047,098.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.