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Finding the Third Proportional to 1,279,444,524 and 1,965,725,118

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Solution

The third proportional to 1,279,444,524 and 1,965,725,118 is: 3,020,119,408.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279,444,524 : 1,965,725,118 = 1,965,725,118 : x
  2. Step 2: Convert to fraction form
    1,279,444,524/1,965,725,118 = 1,965,725,118/x
  3. Step 3: Cross multiply
    1,279,444,524x = 1,965,725,118 × 1,965,725,118
  4. Step 4: Simplify right side
    1,279,444,524x = 3,864,075,239,536,114,176
  5. Step 5: Solve for x
    x = 3,864,075,239,536,114,176/1,279,444,524
  6. Step 6: Final answer
    x = 3,020,119,408.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.