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Finding the Third Proportional to 182,564,496 and 405,947,808

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Solution

The third proportional to 182,564,496 and 405,947,808 is: 902,659,752.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,564,496 : 405,947,808 = 405,947,808 : x
  2. Step 2: Convert to fraction form
    182,564,496/405,947,808 = 405,947,808/x
  3. Step 3: Cross multiply
    182,564,496x = 405,947,808 × 405,947,808
  4. Step 4: Simplify right side
    182,564,496x = 164,793,622,820,004,864
  5. Step 5: Solve for x
    x = 164,793,622,820,004,864/182,564,496
  6. Step 6: Final answer
    x = 902,659,752.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.