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Finding the Third Proportional to 467,386,299 and 1,012,332,225

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Solution

The third proportional to 467,386,299 and 1,012,332,225 is: 2,192,654,204.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,386,299 : 1,012,332,225 = 1,012,332,225 : x
  2. Step 2: Convert to fraction form
    467,386,299/1,012,332,225 = 1,012,332,225/x
  3. Step 3: Cross multiply
    467,386,299x = 1,012,332,225 × 1,012,332,225
  4. Step 4: Simplify right side
    467,386,299x = 1,024,816,533,773,450,624
  5. Step 5: Solve for x
    x = 1,024,816,533,773,450,624/467,386,299
  6. Step 6: Final answer
    x = 2,192,654,204.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.