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Finding the Third Proportional to 27,406,151,166 and 43,608,574,195

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Solution

The third proportional to 27,406,151,166 and 43,608,574,195 is: 69,389,814,418.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,406,151,166 : 43,608,574,195 = 43,608,574,195 : x
  2. Step 2: Convert to fraction form
    27,406,151,166/43,608,574,195 = 43,608,574,195/x
  3. Step 3: Cross multiply
    27,406,151,166x = 43,608,574,195 × 43,608,574,195
  4. Step 4: Simplify right side
    27,406,151,166x = 1,901,707,743,320,819,892,224
  5. Step 5: Solve for x
    x = 1,901,707,743,320,819,892,224/27,406,151,166
  6. Step 6: Final answer
    x = 69,389,814,418.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.