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Finding the Third Proportional to 6,282,225 and 9,606,046.50

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Solution

The third proportional to 6,282,225 and 9,606,046.50 is: 14,688,447.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282,225 : 9,606,046.50 = 9,606,046.50 : x
  2. Step 2: Convert to fraction form
    6,282,225/9,606,046.50 = 9,606,046.50/x
  3. Step 3: Cross multiply
    6,282,225x = 9,606,046.50 × 9,606,046.50
  4. Step 4: Simplify right side
    6,282,225x = 92,276,129,360,162.25
  5. Step 5: Solve for x
    x = 92,276,129,360,162.25/6,282,225
  6. Step 6: Final answer
    x = 14,688,447.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.