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Finding the Third Proportional to 4,934,025,414 and 10,772,199,866.25

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Solution

The third proportional to 4,934,025,414 and 10,772,199,866.25 is: 23,518,381,082.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934,025,414 : 10,772,199,866.25 = 10,772,199,866.25 : x
  2. Step 2: Convert to fraction form
    4,934,025,414/10,772,199,866.25 = 10,772,199,866.25/x
  3. Step 3: Cross multiply
    4,934,025,414x = 10,772,199,866.25 × 10,772,199,866.25
  4. Step 4: Simplify right side
    4,934,025,414x = 116,040,289,958,436,519,936
  5. Step 5: Solve for x
    x = 116,040,289,958,436,519,936/4,934,025,414
  6. Step 6: Final answer
    x = 23,518,381,082.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.