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Finding the Third Proportional to 26,424,770 and 40,426,946.25

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Solution

The third proportional to 26,424,770 and 40,426,946.25 is: 61,848,711.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,424,770 : 40,426,946.25 = 40,426,946.25 : x
  2. Step 2: Convert to fraction form
    26,424,770/40,426,946.25 = 40,426,946.25/x
  3. Step 3: Cross multiply
    26,424,770x = 40,426,946.25 × 40,426,946.25
  4. Step 4: Simplify right side
    26,424,770x = 1,634,337,983,100,389
  5. Step 5: Solve for x
    x = 1,634,337,983,100,389/26,424,770
  6. Step 6: Final answer
    x = 61,848,711.76

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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.