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Finding the Third Proportional to 11,335,443.12 and 24,288,036.05

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Solution

The third proportional to 11,335,443.12 and 24,288,036.05 is: 52,041,079.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,335,443.12 : 24,288,036.05 = 24,288,036.05 : x
  2. Step 2: Convert to fraction form
    11,335,443.12/24,288,036.05 = 24,288,036.05/x
  3. Step 3: Cross multiply
    11,335,443.12x = 24,288,036.05 × 24,288,036.05
  4. Step 4: Simplify right side
    11,335,443.12x = 589,908,695,014,299.38
  5. Step 5: Solve for x
    x = 589,908,695,014,299.38/11,335,443.12
  6. Step 6: Final answer
    x = 52,041,079.38

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.