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Finding the Third Proportional to 10,409,940 and 22,557,316

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Solution

The third proportional to 10,409,940 and 22,557,316 is: 48,879,484.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409,940 : 22,557,316 = 22,557,316 : x
  2. Step 2: Convert to fraction form
    10,409,940/22,557,316 = 22,557,316/x
  3. Step 3: Cross multiply
    10,409,940x = 22,557,316 × 22,557,316
  4. Step 4: Simplify right side
    10,409,940x = 508,832,505,123,856
  5. Step 5: Solve for x
    x = 508,832,505,123,856/10,409,940
  6. Step 6: Final answer
    x = 48,879,484.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.