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Finding the Third Proportional to 5,210,205 and 7,869,750

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Solution

The third proportional to 5,210,205 and 7,869,750 is: 11,886,857.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210,205 : 7,869,750 = 7,869,750 : x
  2. Step 2: Convert to fraction form
    5,210,205/7,869,750 = 7,869,750/x
  3. Step 3: Cross multiply
    5,210,205x = 7,869,750 × 7,869,750
  4. Step 4: Simplify right side
    5,210,205x = 61,932,965,062,500
  5. Step 5: Solve for x
    x = 61,932,965,062,500/5,210,205
  6. Step 6: Final answer
    x = 11,886,857.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.