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Finding the Third Proportional to 24,882,147 and 54,547,285.78

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Solution

The third proportional to 24,882,147 and 54,547,285.78 is: 119,579,969.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,882,147 : 54,547,285.78 = 54,547,285.78 : x
  2. Step 2: Convert to fraction form
    24,882,147/54,547,285.78 = 54,547,285.78/x
  3. Step 3: Cross multiply
    24,882,147x = 54,547,285.78 × 54,547,285.78
  4. Step 4: Simplify right side
    24,882,147x = 2,975,406,386,101,358.50
  5. Step 5: Solve for x
    x = 2,975,406,386,101,358.50/24,882,147
  6. Step 6: Final answer
    x = 119,579,969.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.