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Finding the Third Proportional to 5,228,904 and 11,326,117

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Solution

The third proportional to 5,228,904 and 11,326,117 is: 24,533,042.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228,904 : 11,326,117 = 11,326,117 : x
  2. Step 2: Convert to fraction form
    5,228,904/11,326,117 = 11,326,117/x
  3. Step 3: Cross multiply
    5,228,904x = 11,326,117 × 11,326,117
  4. Step 4: Simplify right side
    5,228,904x = 128,280,926,297,689
  5. Step 5: Solve for x
    x = 128,280,926,297,689/5,228,904
  6. Step 6: Final answer
    x = 24,533,042.93

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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.