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Finding the Third Proportional to 49,716,962 and 117,196,715

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Solution

The third proportional to 49,716,962 and 117,196,715 is: 276,265,271.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,716,962 : 117,196,715 = 117,196,715 : x
  2. Step 2: Convert to fraction form
    49,716,962/117,196,715 = 117,196,715/x
  3. Step 3: Cross multiply
    49,716,962x = 117,196,715 × 117,196,715
  4. Step 4: Simplify right side
    49,716,962x = 13,735,070,006,791,224
  5. Step 5: Solve for x
    x = 13,735,070,006,791,224/49,716,962
  6. Step 6: Final answer
    x = 276,265,271.53

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Why These Related Problems?

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