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Finding the Third Proportional to 64,359,715,972 and 138,555,600,008

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Solution

The third proportional to 64,359,715,972 and 138,555,600,008 is: 298,286,808,815.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,359,715,972 : 138,555,600,008 = 138,555,600,008 : x
  2. Step 2: Convert to fraction form
    64,359,715,972/138,555,600,008 = 138,555,600,008/x
  3. Step 3: Cross multiply
    64,359,715,972x = 138,555,600,008 × 138,555,600,008
  4. Step 4: Simplify right side
    64,359,715,972x = 19,197,654,293,576,891,236,352
  5. Step 5: Solve for x
    x = 19,197,654,293,576,891,236,352/64,359,715,972
  6. Step 6: Final answer
    x = 298,286,808,815.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.