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Finding the Third Proportional to 20,709,433 and 32,416,201.50

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Solution

The third proportional to 20,709,433 and 32,416,201.50 is: 50,740,651.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,709,433 : 32,416,201.50 = 32,416,201.50 : x
  2. Step 2: Convert to fraction form
    20,709,433/32,416,201.50 = 32,416,201.50/x
  3. Step 3: Cross multiply
    20,709,433x = 32,416,201.50 × 32,416,201.50
  4. Step 4: Simplify right side
    20,709,433x = 1,050,810,119,688,602.25
  5. Step 5: Solve for x
    x = 1,050,810,119,688,602.25/20,709,433
  6. Step 6: Final answer
    x = 50,740,651.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.