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Finding the Third Proportional to 814,877,322.50 and 1,765,129,724.50

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Solution

The third proportional to 814,877,322.50 and 1,765,129,724.50 is: 3,823,499,388.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,877,322.50 : 1,765,129,724.50 = 1,765,129,724.50 : x
  2. Step 2: Convert to fraction form
    814,877,322.50/1,765,129,724.50 = 1,765,129,724.50/x
  3. Step 3: Cross multiply
    814,877,322.50x = 1,765,129,724.50 × 1,765,129,724.50
  4. Step 4: Simplify right side
    814,877,322.50x = 3,115,682,944,313,445,888
  5. Step 5: Solve for x
    x = 3,115,682,944,313,445,888/814,877,322.50
  6. Step 6: Final answer
    x = 3,823,499,388.54

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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.