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Finding the Third Proportional to 7,479,814 and 16,140,608

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Solution

The third proportional to 7,479,814 and 16,140,608 is: 34,829,639.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,479,814 : 16,140,608 = 16,140,608 : x
  2. Step 2: Convert to fraction form
    7,479,814/16,140,608 = 16,140,608/x
  3. Step 3: Cross multiply
    7,479,814x = 16,140,608 × 16,140,608
  4. Step 4: Simplify right side
    7,479,814x = 260,519,226,609,664
  5. Step 5: Solve for x
    x = 260,519,226,609,664/7,479,814
  6. Step 6: Final answer
    x = 34,829,639.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.