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Finding the Third Proportional to 4,774,473 and 9,305,297

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Solution

The third proportional to 4,774,473 and 9,305,297 is: 18,135,729.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774,473 : 9,305,297 = 9,305,297 : x
  2. Step 2: Convert to fraction form
    4,774,473/9,305,297 = 9,305,297/x
  3. Step 3: Cross multiply
    4,774,473x = 9,305,297 × 9,305,297
  4. Step 4: Simplify right side
    4,774,473x = 86,588,552,258,209
  5. Step 5: Solve for x
    x = 86,588,552,258,209/4,774,473
  6. Step 6: Final answer
    x = 18,135,729.80

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.