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Finding the Third Proportional to 19,966,005 and 30,670,236.75

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Solution

The third proportional to 19,966,005 and 30,670,236.75 is: 47,113,251.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,966,005 : 30,670,236.75 = 30,670,236.75 : x
  2. Step 2: Convert to fraction form
    19,966,005/30,670,236.75 = 30,670,236.75/x
  3. Step 3: Cross multiply
    19,966,005x = 30,670,236.75 × 30,670,236.75
  4. Step 4: Simplify right side
    19,966,005x = 940,663,422,301,050.50
  5. Step 5: Solve for x
    x = 940,663,422,301,050.50/19,966,005
  6. Step 6: Final answer
    x = 47,113,251.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.