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Finding the Third Proportional to 183,074,729 and 276,314,624

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Solution

The third proportional to 183,074,729 and 276,314,624 is: 417,041,564.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,074,729 : 276,314,624 = 276,314,624 : x
  2. Step 2: Convert to fraction form
    183,074,729/276,314,624 = 276,314,624/x
  3. Step 3: Cross multiply
    183,074,729x = 276,314,624 × 276,314,624
  4. Step 4: Simplify right side
    183,074,729x = 76,349,771,436,261,376
  5. Step 5: Solve for x
    x = 76,349,771,436,261,376/183,074,729
  6. Step 6: Final answer
    x = 417,041,564.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.