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Finding the Third Proportional to 82,023,732 and 193,624,752

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Solution

The third proportional to 82,023,732 and 193,624,752 is: 457,069,480.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,023,732 : 193,624,752 = 193,624,752 : x
  2. Step 2: Convert to fraction form
    82,023,732/193,624,752 = 193,624,752/x
  3. Step 3: Cross multiply
    82,023,732x = 193,624,752 × 193,624,752
  4. Step 4: Simplify right side
    82,023,732x = 37,490,544,587,061,504
  5. Step 5: Solve for x
    x = 37,490,544,587,061,504/82,023,732
  6. Step 6: Final answer
    x = 457,069,480.66

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.