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Finding the Third Proportional to 5,153,046 and 11,194,014

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Solution

The third proportional to 5,153,046 and 11,194,014 is: 24,316,869.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153,046 : 11,194,014 = 11,194,014 : x
  2. Step 2: Convert to fraction form
    5,153,046/11,194,014 = 11,194,014/x
  3. Step 3: Cross multiply
    5,153,046x = 11,194,014 × 11,194,014
  4. Step 4: Simplify right side
    5,153,046x = 125,305,949,432,196
  5. Step 5: Solve for x
    x = 125,305,949,432,196/5,153,046
  6. Step 6: Final answer
    x = 24,316,869.95

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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.