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Finding the Third Proportional to 923,989,912.88 and 1,409,257,567.83

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Solution

The third proportional to 923,989,912.88 and 1,409,257,567.83 is: 2,149,381,573.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,989,912.88 : 1,409,257,567.83 = 1,409,257,567.83 : x
  2. Step 2: Convert to fraction form
    923,989,912.88/1,409,257,567.83 = 1,409,257,567.83/x
  3. Step 3: Cross multiply
    923,989,912.88x = 1,409,257,567.83 × 1,409,257,567.83
  4. Step 4: Simplify right side
    923,989,912.88x = 1,986,006,892,480,771,840
  5. Step 5: Solve for x
    x = 1,986,006,892,480,771,840/923,989,912.88
  6. Step 6: Final answer
    x = 2,149,381,573.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.