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Finding the Third Proportional to 20,798,617.25 and 32,457,035.50

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Solution

The third proportional to 20,798,617.25 and 32,457,035.50 is: 50,650,441.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,798,617.25 : 32,457,035.50 = 32,457,035.50 : x
  2. Step 2: Convert to fraction form
    20,798,617.25/32,457,035.50 = 32,457,035.50/x
  3. Step 3: Cross multiply
    20,798,617.25x = 32,457,035.50 × 32,457,035.50
  4. Step 4: Simplify right side
    20,798,617.25x = 1,053,459,153,448,260.25
  5. Step 5: Solve for x
    x = 1,053,459,153,448,260.25/20,798,617.25
  6. Step 6: Final answer
    x = 50,650,441.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.