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Finding the Third Proportional to 24,705,974 and 35,641,623

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Solution

The third proportional to 24,705,974 and 35,641,623 is: 51,417,737.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,705,974 : 35,641,623 = 35,641,623 : x
  2. Step 2: Convert to fraction form
    24,705,974/35,641,623 = 35,641,623/x
  3. Step 3: Cross multiply
    24,705,974x = 35,641,623 × 35,641,623
  4. Step 4: Simplify right side
    24,705,974x = 1,270,325,290,074,129
  5. Step 5: Solve for x
    x = 1,270,325,290,074,129/24,705,974
  6. Step 6: Final answer
    x = 51,417,737.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.