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Finding the Third Proportional to 4,637,427 and 6,408,047.25

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Solution

The third proportional to 4,637,427 and 6,408,047.25 is: 8,854,709.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637,427 : 6,408,047.25 = 6,408,047.25 : x
  2. Step 2: Convert to fraction form
    4,637,427/6,408,047.25 = 6,408,047.25/x
  3. Step 3: Cross multiply
    4,637,427x = 6,408,047.25 × 6,408,047.25
  4. Step 4: Simplify right side
    4,637,427x = 41,063,069,558,232.56
  5. Step 5: Solve for x
    x = 41,063,069,558,232.56/4,637,427
  6. Step 6: Final answer
    x = 8,854,709.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.