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Finding the Third Proportional to 29,211,674.25 and 63,270,825.75

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Solution

The third proportional to 29,211,674.25 and 63,270,825.75 is: 137,041,011.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,211,674.25 : 63,270,825.75 = 63,270,825.75 : x
  2. Step 2: Convert to fraction form
    29,211,674.25/63,270,825.75 = 63,270,825.75/x
  3. Step 3: Cross multiply
    29,211,674.25x = 63,270,825.75 × 63,270,825.75
  4. Step 4: Simplify right side
    29,211,674.25x = 4,003,197,391,086,863
  5. Step 5: Solve for x
    x = 4,003,197,391,086,863/29,211,674.25
  6. Step 6: Final answer
    x = 137,041,011.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.