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Finding the Third Proportional to 20,642,878.69 and 30,962,314.13

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Solution

The third proportional to 20,642,878.69 and 30,962,314.13 is: 46,440,465.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,642,878.69 : 30,962,314.13 = 30,962,314.13 : x
  2. Step 2: Convert to fraction form
    20,642,878.69/30,962,314.13 = 30,962,314.13/x
  3. Step 3: Cross multiply
    20,642,878.69x = 30,962,314.13 × 30,962,314.13
  4. Step 4: Simplify right side
    20,642,878.69x = 958,664,895,975,174.50
  5. Step 5: Solve for x
    x = 958,664,895,975,174.50/20,642,878.69
  6. Step 6: Final answer
    x = 46,440,465.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.