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Finding the Third Proportional to 6,701,887,842 and 10,798,526,592

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Solution

The third proportional to 6,701,887,842 and 10,798,526,592 is: 17,399,302,899.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701,887,842 : 10,798,526,592 = 10,798,526,592 : x
  2. Step 2: Convert to fraction form
    6,701,887,842/10,798,526,592 = 10,798,526,592/x
  3. Step 3: Cross multiply
    6,701,887,842x = 10,798,526,592 × 10,798,526,592
  4. Step 4: Simplify right side
    6,701,887,842x = 116,608,176,558,131,134,464
  5. Step 5: Solve for x
    x = 116,608,176,558,131,134,464/6,701,887,842
  6. Step 6: Final answer
    x = 17,399,302,899.01

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.