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Finding the Third Proportional to 932,044,134.50 and 1,396,702,809.50

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Solution

The third proportional to 932,044,134.50 and 1,396,702,809.50 is: 2,093,011,120.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,044,134.50 : 1,396,702,809.50 = 1,396,702,809.50 : x
  2. Step 2: Convert to fraction form
    932,044,134.50/1,396,702,809.50 = 1,396,702,809.50/x
  3. Step 3: Cross multiply
    932,044,134.50x = 1,396,702,809.50 × 1,396,702,809.50
  4. Step 4: Simplify right side
    932,044,134.50x = 1,950,778,738,065,193,216
  5. Step 5: Solve for x
    x = 1,950,778,738,065,193,216/932,044,134.50
  6. Step 6: Final answer
    x = 2,093,011,120.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.