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Finding the Third Proportional to 39,858,813 and 65,085,297

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Solution

The third proportional to 39,858,813 and 65,085,297 is: 106,277,522.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,858,813 : 65,085,297 = 65,085,297 : x
  2. Step 2: Convert to fraction form
    39,858,813/65,085,297 = 65,085,297/x
  3. Step 3: Cross multiply
    39,858,813x = 65,085,297 × 65,085,297
  4. Step 4: Simplify right side
    39,858,813x = 4,236,095,885,578,209
  5. Step 5: Solve for x
    x = 4,236,095,885,578,209/39,858,813
  6. Step 6: Final answer
    x = 106,277,522.25

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.