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Finding the Third Proportional to 1,129,518,306 and 1,650,930,027

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Solution

The third proportional to 1,129,518,306 and 1,650,930,027 is: 2,413,037,433.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129,518,306 : 1,650,930,027 = 1,650,930,027 : x
  2. Step 2: Convert to fraction form
    1,129,518,306/1,650,930,027 = 1,650,930,027/x
  3. Step 3: Cross multiply
    1,129,518,306x = 1,650,930,027 × 1,650,930,027
  4. Step 4: Simplify right side
    1,129,518,306x = 2,725,569,954,050,220,544
  5. Step 5: Solve for x
    x = 2,725,569,954,050,220,544/1,129,518,306
  6. Step 6: Final answer
    x = 2,413,037,433.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.