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Finding the Third Proportional to 2,854,960,290 and 4,364,498,040

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Solution

The third proportional to 2,854,960,290 and 4,364,498,040 is: 6,672,191,976.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854,960,290 : 4,364,498,040 = 4,364,498,040 : x
  2. Step 2: Convert to fraction form
    2,854,960,290/4,364,498,040 = 4,364,498,040/x
  3. Step 3: Cross multiply
    2,854,960,290x = 4,364,498,040 × 4,364,498,040
  4. Step 4: Simplify right side
    2,854,960,290x = 19,048,843,141,163,843,584
  5. Step 5: Solve for x
    x = 19,048,843,141,163,843,584/2,854,960,290
  6. Step 6: Final answer
    x = 6,672,191,976.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.