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Finding the Third Proportional to 970,282,633.50 and 2,110,568,816.25

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Solution

The third proportional to 970,282,633.50 and 2,110,568,816.25 is: 4,590,931,110.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,282,633.50 : 2,110,568,816.25 = 2,110,568,816.25 : x
  2. Step 2: Convert to fraction form
    970,282,633.50/2,110,568,816.25 = 2,110,568,816.25/x
  3. Step 3: Cross multiply
    970,282,633.50x = 2,110,568,816.25 × 2,110,568,816.25
  4. Step 4: Simplify right side
    970,282,633.50x = 4,454,500,728,126,926,336
  5. Step 5: Solve for x
    x = 4,454,500,728,126,926,336/970,282,633.50
  6. Step 6: Final answer
    x = 4,590,931,110.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.