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Finding the Third Proportional to 27,406,151,164 and 43,608,574,192

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Solution

The third proportional to 27,406,151,164 and 43,608,574,192 is: 69,389,814,413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,406,151,164 : 43,608,574,192 = 43,608,574,192 : x
  2. Step 2: Convert to fraction form
    27,406,151,164/43,608,574,192 = 43,608,574,192/x
  3. Step 3: Cross multiply
    27,406,151,164x = 43,608,574,192 × 43,608,574,192
  4. Step 4: Simplify right side
    27,406,151,164x = 1,901,707,743,059,168,460,800
  5. Step 5: Solve for x
    x = 1,901,707,743,059,168,460,800/27,406,151,164
  6. Step 6: Final answer
    x = 69,389,814,413.53

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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.