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Finding the Third Proportional to 9,578,862.56 and 20,913,472.27

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Solution

The third proportional to 9,578,862.56 and 20,913,472.27 is: 45,660,256.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578,862.56 : 20,913,472.27 = 20,913,472.27 : x
  2. Step 2: Convert to fraction form
    9,578,862.56/20,913,472.27 = 20,913,472.27/x
  3. Step 3: Cross multiply
    9,578,862.56x = 20,913,472.27 × 20,913,472.27
  4. Step 4: Simplify right side
    9,578,862.56x = 437,373,322,205,066.06
  5. Step 5: Solve for x
    x = 437,373,322,205,066.06/9,578,862.56
  6. Step 6: Final answer
    x = 45,660,256.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.