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Finding the Third Proportional to 4,322,526 and 10,005,871

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Solution

The third proportional to 4,322,526 and 10,005,871 is: 23,161,793.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322,526 : 10,005,871 = 10,005,871 : x
  2. Step 2: Convert to fraction form
    4,322,526/10,005,871 = 10,005,871/x
  3. Step 3: Cross multiply
    4,322,526x = 10,005,871 × 10,005,871
  4. Step 4: Simplify right side
    4,322,526x = 100,117,454,468,641
  5. Step 5: Solve for x
    x = 100,117,454,468,641/4,322,526
  6. Step 6: Final answer
    x = 23,161,793.47

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.