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Finding the Third Proportional to 218,240,459 and 472,805,833

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Solution

The third proportional to 218,240,459 and 472,805,833 is: 1,024,307,576.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,240,459 : 472,805,833 = 472,805,833 : x
  2. Step 2: Convert to fraction form
    218,240,459/472,805,833 = 472,805,833/x
  3. Step 3: Cross multiply
    218,240,459x = 472,805,833 × 472,805,833
  4. Step 4: Simplify right side
    218,240,459x = 223,545,355,718,823,904
  5. Step 5: Solve for x
    x = 223,545,355,718,823,904/218,240,459
  6. Step 6: Final answer
    x = 1,024,307,576.80

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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.