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Finding the Third Proportional to 520,013,637,290 and 1,054,648,875,694

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Solution

The third proportional to 520,013,637,290 and 1,054,648,875,694 is: 2,138,952,079,793.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,013,637,290 : 1,054,648,875,694 = 1,054,648,875,694 : x
  2. Step 2: Convert to fraction form
    520,013,637,290/1,054,648,875,694 = 1,054,648,875,694/x
  3. Step 3: Cross multiply
    520,013,637,290x = 1,054,648,875,694 × 1,054,648,875,694
  4. Step 4: Simplify right side
    520,013,637,290x = 1,112,284,251,002,618,310,033,408
  5. Step 5: Solve for x
    x = 1,112,284,251,002,618,310,033,408/520,013,637,290
  6. Step 6: Final answer
    x = 2,138,952,079,793.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.