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Finding the Third Proportional to 27,406,151,159 and 43,608,574,187

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Solution

The third proportional to 27,406,151,159 and 43,608,574,187 is: 69,389,814,410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,406,151,159 : 43,608,574,187 = 43,608,574,187 : x
  2. Step 2: Convert to fraction form
    27,406,151,159/43,608,574,187 = 43,608,574,187/x
  3. Step 3: Cross multiply
    27,406,151,159x = 43,608,574,187 × 43,608,574,187
  4. Step 4: Simplify right side
    27,406,151,159x = 1,901,707,742,623,082,741,760
  5. Step 5: Solve for x
    x = 1,901,707,742,623,082,741,760/27,406,151,159
  6. Step 6: Final answer
    x = 69,389,814,410.28

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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.