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Finding the Third Proportional to 13,904,158 and 20,358,490.50

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Solution

The third proportional to 13,904,158 and 20,358,490.50 is: 29,808,934.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,904,158 : 20,358,490.50 = 20,358,490.50 : x
  2. Step 2: Convert to fraction form
    13,904,158/20,358,490.50 = 20,358,490.50/x
  3. Step 3: Cross multiply
    13,904,158x = 20,358,490.50 × 20,358,490.50
  4. Step 4: Simplify right side
    13,904,158x = 414,468,135,438,590.25
  5. Step 5: Solve for x
    x = 414,468,135,438,590.25/13,904,158
  6. Step 6: Final answer
    x = 29,808,934.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.