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Finding the Third Proportional to 6,341,176.13 and 14,134,608

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Solution

The third proportional to 6,341,176.13 and 14,134,608 is: 31,506,323.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341,176.13 : 14,134,608 = 14,134,608 : x
  2. Step 2: Convert to fraction form
    6,341,176.13/14,134,608 = 14,134,608/x
  3. Step 3: Cross multiply
    6,341,176.13x = 14,134,608 × 14,134,608
  4. Step 4: Simplify right side
    6,341,176.13x = 199,787,143,313,664
  5. Step 5: Solve for x
    x = 199,787,143,313,664/6,341,176.13
  6. Step 6: Final answer
    x = 31,506,323.02

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.