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Finding the Third Proportional to 4,081,349,695,318 and 8,768,384,823,596

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Solution

The third proportional to 4,081,349,695,318 and 8,768,384,823,596 is: 18,838,026,181,110.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,081,349,695,318 : 8,768,384,823,596 = 8,768,384,823,596 : x
  2. Step 2: Convert to fraction form
    4,081,349,695,318/8,768,384,823,596 = 8,768,384,823,596/x
  3. Step 3: Cross multiply
    4,081,349,695,318x = 8,768,384,823,596 × 8,768,384,823,596
  4. Step 4: Simplify right side
    4,081,349,695,318x = 76,884,572,414,668,653,243,400,192
  5. Step 5: Solve for x
    x = 76,884,572,414,668,653,243,400,192/4,081,349,695,318
  6. Step 6: Final answer
    x = 18,838,026,181,110.70

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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.