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Finding the Third Proportional to 344,839,194 and 752,885,316

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Solution

The third proportional to 344,839,194 and 752,885,316 is: 1,643,769,933.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,839,194 : 752,885,316 = 752,885,316 : x
  2. Step 2: Convert to fraction form
    344,839,194/752,885,316 = 752,885,316/x
  3. Step 3: Cross multiply
    344,839,194x = 752,885,316 × 752,885,316
  4. Step 4: Simplify right side
    344,839,194x = 566,836,299,048,419,840
  5. Step 5: Solve for x
    x = 566,836,299,048,419,840/344,839,194
  6. Step 6: Final answer
    x = 1,643,769,933.67

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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.