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Finding the Third Proportional to 1,279,444,490 and 1,965,725,050

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Solution

The third proportional to 1,279,444,490 and 1,965,725,050 is: 3,020,119,280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279,444,490 : 1,965,725,050 = 1,965,725,050 : x
  2. Step 2: Convert to fraction form
    1,279,444,490/1,965,725,050 = 1,965,725,050/x
  3. Step 3: Cross multiply
    1,279,444,490x = 1,965,725,050 × 1,965,725,050
  4. Step 4: Simplify right side
    1,279,444,490x = 3,864,074,972,197,502,464
  5. Step 5: Solve for x
    x = 3,864,074,972,197,502,464/1,279,444,490
  6. Step 6: Final answer
    x = 3,020,119,280.20

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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.