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Finding the Third Proportional to 5,128,006 and 10,942,380

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Solution

The third proportional to 5,128,006 and 10,942,380 is: 23,349,364.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128,006 : 10,942,380 = 10,942,380 : x
  2. Step 2: Convert to fraction form
    5,128,006/10,942,380 = 10,942,380/x
  3. Step 3: Cross multiply
    5,128,006x = 10,942,380 × 10,942,380
  4. Step 4: Simplify right side
    5,128,006x = 119,735,680,064,400
  5. Step 5: Solve for x
    x = 119,735,680,064,400/5,128,006
  6. Step 6: Final answer
    x = 23,349,364.27

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.