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Finding the Third Proportional to 2,006,455,965 and 4,195,860,486

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Solution

The third proportional to 2,006,455,965 and 4,195,860,486 is: 8,774,299,324.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006,455,965 : 4,195,860,486 = 4,195,860,486 : x
  2. Step 2: Convert to fraction form
    2,006,455,965/4,195,860,486 = 4,195,860,486/x
  3. Step 3: Cross multiply
    2,006,455,965x = 4,195,860,486 × 4,195,860,486
  4. Step 4: Simplify right side
    2,006,455,965x = 17,605,245,217,976,156,160
  5. Step 5: Solve for x
    x = 17,605,245,217,976,156,160/2,006,455,965
  6. Step 6: Final answer
    x = 8,774,299,324.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.