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Finding the Third Proportional to 15,723,190.13 and 32,208,738.75

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Solution

The third proportional to 15,723,190.13 and 32,208,738.75 is: 65,979,158.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,723,190.13 : 32,208,738.75 = 32,208,738.75 : x
  2. Step 2: Convert to fraction form
    15,723,190.13/32,208,738.75 = 32,208,738.75/x
  3. Step 3: Cross multiply
    15,723,190.13x = 32,208,738.75 × 32,208,738.75
  4. Step 4: Simplify right side
    15,723,190.13x = 1,037,402,851,865,751.50
  5. Step 5: Solve for x
    x = 1,037,402,851,865,751.50/15,723,190.13
  6. Step 6: Final answer
    x = 65,979,158.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.