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Finding the Third Proportional to 5,044,784 and 10,929,380

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Solution

The third proportional to 5,044,784 and 10,929,380 is: 23,678,188.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044,784 : 10,929,380 = 10,929,380 : x
  2. Step 2: Convert to fraction form
    5,044,784/10,929,380 = 10,929,380/x
  3. Step 3: Cross multiply
    5,044,784x = 10,929,380 × 10,929,380
  4. Step 4: Simplify right side
    5,044,784x = 119,451,347,184,400
  5. Step 5: Solve for x
    x = 119,451,347,184,400/5,044,784
  6. Step 6: Final answer
    x = 23,678,188.64

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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.