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Finding the Third Proportional to 5,146,214 and 11,000,656

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Solution

The third proportional to 5,146,214 and 11,000,656 is: 23,515,235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146,214 : 11,000,656 = 11,000,656 : x
  2. Step 2: Convert to fraction form
    5,146,214/11,000,656 = 11,000,656/x
  3. Step 3: Cross multiply
    5,146,214x = 11,000,656 × 11,000,656
  4. Step 4: Simplify right side
    5,146,214x = 121,014,432,430,336
  5. Step 5: Solve for x
    x = 121,014,432,430,336/5,146,214
  6. Step 6: Final answer
    x = 23,515,235.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.