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Finding the Third Proportional to 786,143,485.13 and 1,233,120,403.69

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Solution

The third proportional to 786,143,485.13 and 1,233,120,403.69 is: 1,934,234,600.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,143,485.13 : 1,233,120,403.69 = 1,233,120,403.69 : x
  2. Step 2: Convert to fraction form
    786,143,485.13/1,233,120,403.69 = 1,233,120,403.69/x
  3. Step 3: Cross multiply
    786,143,485.13x = 1,233,120,403.69 × 1,233,120,403.69
  4. Step 4: Simplify right side
    786,143,485.13x = 1,520,585,929,990,423,040
  5. Step 5: Solve for x
    x = 1,520,585,929,990,423,040/786,143,485.13
  6. Step 6: Final answer
    x = 1,934,234,600.63

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.