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Finding the Third Proportional to 26,424,767 and 40,426,942

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Solution

The third proportional to 26,424,767 and 40,426,942 is: 61,848,705.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,424,767 : 40,426,942 = 40,426,942 : x
  2. Step 2: Convert to fraction form
    26,424,767/40,426,942 = 40,426,942/x
  3. Step 3: Cross multiply
    26,424,767x = 40,426,942 × 40,426,942
  4. Step 4: Simplify right side
    26,424,767x = 1,634,337,639,471,364
  5. Step 5: Solve for x
    x = 1,634,337,639,471,364/26,424,767
  6. Step 6: Final answer
    x = 61,848,705.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.