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Finding the Third Proportional to 4,081,349,695,316 and 8,768,384,823,592

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Solution

The third proportional to 4,081,349,695,316 and 8,768,384,823,592 is: 18,838,026,181,102.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,081,349,695,316 : 8,768,384,823,592 = 8,768,384,823,592 : x
  2. Step 2: Convert to fraction form
    4,081,349,695,316/8,768,384,823,592 = 8,768,384,823,592/x
  3. Step 3: Cross multiply
    4,081,349,695,316x = 8,768,384,823,592 × 8,768,384,823,592
  4. Step 4: Simplify right side
    4,081,349,695,316x = 76,884,572,414,598,507,837,521,920
  5. Step 5: Solve for x
    x = 76,884,572,414,598,507,837,521,920/4,081,349,695,316
  6. Step 6: Final answer
    x = 18,838,026,181,102.74

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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.