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Finding the Third Proportional to 52,099,424 and 76,588,464

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Solution

The third proportional to 52,099,424 and 76,588,464 is: 112,588,438.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,099,424 : 76,588,464 = 76,588,464 : x
  2. Step 2: Convert to fraction form
    52,099,424/76,588,464 = 76,588,464/x
  3. Step 3: Cross multiply
    52,099,424x = 76,588,464 × 76,588,464
  4. Step 4: Simplify right side
    52,099,424x = 5,865,792,817,879,296
  5. Step 5: Solve for x
    x = 5,865,792,817,879,296/52,099,424
  6. Step 6: Final answer
    x = 112,588,438.94

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.