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Finding the Third Proportional to 69,371,819,313 and 110,384,201,916

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Solution

The third proportional to 69,371,819,313 and 110,384,201,916 is: 175,642,965,015.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,371,819,313 : 110,384,201,916 = 110,384,201,916 : x
  2. Step 2: Convert to fraction form
    69,371,819,313/110,384,201,916 = 110,384,201,916/x
  3. Step 3: Cross multiply
    69,371,819,313x = 110,384,201,916 × 110,384,201,916
  4. Step 4: Simplify right side
    69,371,819,313x = 12,184,672,032,632,258,691,072
  5. Step 5: Solve for x
    x = 12,184,672,032,632,258,691,072/69,371,819,313
  6. Step 6: Final answer
    x = 175,642,965,015.17

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.