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Finding the Third Proportional to 218,240,461 and 472,805,837

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Solution

The third proportional to 218,240,461 and 472,805,837 is: 1,024,307,584.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,240,461 : 472,805,837 = 472,805,837 : x
  2. Step 2: Convert to fraction form
    218,240,461/472,805,837 = 472,805,837/x
  3. Step 3: Cross multiply
    218,240,461x = 472,805,837 × 472,805,837
  4. Step 4: Simplify right side
    218,240,461x = 223,545,359,501,270,560
  5. Step 5: Solve for x
    x = 223,545,359,501,270,560/218,240,461
  6. Step 6: Final answer
    x = 1,024,307,584.75

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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.