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Finding the Third Proportional to 49,716,971 and 117,196,724

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Solution

The third proportional to 49,716,971 and 117,196,724 is: 276,265,263.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,716,971 : 117,196,724 = 117,196,724 : x
  2. Step 2: Convert to fraction form
    49,716,971/117,196,724 = 117,196,724/x
  3. Step 3: Cross multiply
    49,716,971x = 117,196,724 × 117,196,724
  4. Step 4: Simplify right side
    49,716,971x = 13,735,072,116,332,176
  5. Step 5: Solve for x
    x = 13,735,072,116,332,176/49,716,971
  6. Step 6: Final answer
    x = 276,265,263.95

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.