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Finding the Third Proportional to 135,012,773 and 294,556,819

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Solution

The third proportional to 135,012,773 and 294,556,819 is: 642,633,416.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,012,773 : 294,556,819 = 294,556,819 : x
  2. Step 2: Convert to fraction form
    135,012,773/294,556,819 = 294,556,819/x
  3. Step 3: Cross multiply
    135,012,773x = 294,556,819 × 294,556,819
  4. Step 4: Simplify right side
    135,012,773x = 86,763,719,619,398,768
  5. Step 5: Solve for x
    x = 86,763,719,619,398,768/135,012,773
  6. Step 6: Final answer
    x = 642,633,416.76

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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.