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Finding the Third Proportional to 10,345,986 and 24,388,368

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Solution

The third proportional to 10,345,986 and 24,388,368 is: 57,490,169.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,345,986 : 24,388,368 = 24,388,368 : x
  2. Step 2: Convert to fraction form
    10,345,986/24,388,368 = 24,388,368/x
  3. Step 3: Cross multiply
    10,345,986x = 24,388,368 × 24,388,368
  4. Step 4: Simplify right side
    10,345,986x = 594,792,493,703,424
  5. Step 5: Solve for x
    x = 594,792,493,703,424/10,345,986
  6. Step 6: Final answer
    x = 57,490,169.98

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.