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Finding the Third Proportional to 2,006,455,865 and 4,195,860,301

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Solution

The third proportional to 2,006,455,865 and 4,195,860,301 is: 8,774,298,987.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006,455,865 : 4,195,860,301 = 4,195,860,301 : x
  2. Step 2: Convert to fraction form
    2,006,455,865/4,195,860,301 = 4,195,860,301/x
  3. Step 3: Cross multiply
    2,006,455,865x = 4,195,860,301 × 4,195,860,301
  4. Step 4: Simplify right side
    2,006,455,865x = 17,605,243,665,507,811,328
  5. Step 5: Solve for x
    x = 17,605,243,665,507,811,328/2,006,455,865
  6. Step 6: Final answer
    x = 8,774,298,987.89

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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.