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Finding the Third Proportional to 26,902,046 and 37,748,896

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Solution

The third proportional to 26,902,046 and 37,748,896 is: 52,969,173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,902,046 : 37,748,896 = 37,748,896 : x
  2. Step 2: Convert to fraction form
    26,902,046/37,748,896 = 37,748,896/x
  3. Step 3: Cross multiply
    26,902,046x = 37,748,896 × 37,748,896
  4. Step 4: Simplify right side
    26,902,046x = 1,424,979,149,218,816
  5. Step 5: Solve for x
    x = 1,424,979,149,218,816/26,902,046
  6. Step 6: Final answer
    x = 52,969,173.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.