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Finding the Third Proportional to 5,698,914,171 and 8,593,219,521

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Solution

The third proportional to 5,698,914,171 and 8,593,219,521 is: 12,957,454,616.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698,914,171 : 8,593,219,521 = 8,593,219,521 : x
  2. Step 2: Convert to fraction form
    5,698,914,171/8,593,219,521 = 8,593,219,521/x
  3. Step 3: Cross multiply
    5,698,914,171x = 8,593,219,521 × 8,593,219,521
  4. Step 4: Simplify right side
    5,698,914,171x = 73,843,421,736,095,465,472
  5. Step 5: Solve for x
    x = 73,843,421,736,095,465,472/5,698,914,171
  6. Step 6: Final answer
    x = 12,957,454,616.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.