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Finding the Third Proportional to 4,702,915 and 6,872,906.50

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Solution

The third proportional to 4,702,915 and 6,872,906.50 is: 10,044,162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702,915 : 6,872,906.50 = 6,872,906.50 : x
  2. Step 2: Convert to fraction form
    4,702,915/6,872,906.50 = 6,872,906.50/x
  3. Step 3: Cross multiply
    4,702,915x = 6,872,906.50 × 6,872,906.50
  4. Step 4: Simplify right side
    4,702,915x = 47,236,843,757,742.25
  5. Step 5: Solve for x
    x = 47,236,843,757,742.25/4,702,915
  6. Step 6: Final answer
    x = 10,044,162.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.