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Finding the Third Proportional to 25,145,522,064 and 41,906,677,752

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Solution

The third proportional to 25,145,522,064 and 41,906,677,752 is: 69,840,253,693.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,145,522,064 : 41,906,677,752 = 41,906,677,752 : x
  2. Step 2: Convert to fraction form
    25,145,522,064/41,906,677,752 = 41,906,677,752/x
  3. Step 3: Cross multiply
    25,145,522,064x = 41,906,677,752 × 41,906,677,752
  4. Step 4: Simplify right side
    25,145,522,064x = 1,756,169,640,209,971,675,136
  5. Step 5: Solve for x
    x = 1,756,169,640,209,971,675,136/25,145,522,064
  6. Step 6: Final answer
    x = 69,840,253,693.69

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.