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Finding the Third Proportional to 27,893,732 and 65,136,435

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Solution

The third proportional to 27,893,732 and 65,136,435 is: 152,104,249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,893,732 : 65,136,435 = 65,136,435 : x
  2. Step 2: Convert to fraction form
    27,893,732/65,136,435 = 65,136,435/x
  3. Step 3: Cross multiply
    27,893,732x = 65,136,435 × 65,136,435
  4. Step 4: Simplify right side
    27,893,732x = 4,242,755,164,509,225
  5. Step 5: Solve for x
    x = 4,242,755,164,509,225/27,893,732
  6. Step 6: Final answer
    x = 152,104,249.25

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.