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Finding the Third Proportional to 938,530,279.50 and 1,278,118,044.75

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Solution

The third proportional to 938,530,279.50 and 1,278,118,044.75 is: 1,740,578,617.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,530,279.50 : 1,278,118,044.75 = 1,278,118,044.75 : x
  2. Step 2: Convert to fraction form
    938,530,279.50/1,278,118,044.75 = 1,278,118,044.75/x
  3. Step 3: Cross multiply
    938,530,279.50x = 1,278,118,044.75 × 1,278,118,044.75
  4. Step 4: Simplify right side
    938,530,279.50x = 1,633,585,736,315,563,008
  5. Step 5: Solve for x
    x = 1,633,585,736,315,563,008/938,530,279.50
  6. Step 6: Final answer
    x = 1,740,578,617.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.