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Finding the Third Proportional to 30,702,926 and 66,188,578

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Solution

The third proportional to 30,702,926 and 66,188,578 is: 142,687,633.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,702,926 : 66,188,578 = 66,188,578 : x
  2. Step 2: Convert to fraction form
    30,702,926/66,188,578 = 66,188,578/x
  3. Step 3: Cross multiply
    30,702,926x = 66,188,578 × 66,188,578
  4. Step 4: Simplify right side
    30,702,926x = 4,380,927,857,662,084
  5. Step 5: Solve for x
    x = 4,380,927,857,662,084/30,702,926
  6. Step 6: Final answer
    x = 142,687,633.67

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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.