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Finding the Third Proportional to 5,128,022 and 10,942,411

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Solution

The third proportional to 5,128,022 and 10,942,411 is: 23,349,423.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128,022 : 10,942,411 = 10,942,411 : x
  2. Step 2: Convert to fraction form
    5,128,022/10,942,411 = 10,942,411/x
  3. Step 3: Cross multiply
    5,128,022x = 10,942,411 × 10,942,411
  4. Step 4: Simplify right side
    5,128,022x = 119,736,358,492,921
  5. Step 5: Solve for x
    x = 119,736,358,492,921/5,128,022
  6. Step 6: Final answer
    x = 23,349,423.71

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Why These Related Problems?

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