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Finding the Third Proportional to 61,766,805 and 133,106,910

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Solution

The third proportional to 61,766,805 and 133,106,910 is: 286,844,195.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,766,805 : 133,106,910 = 133,106,910 : x
  2. Step 2: Convert to fraction form
    61,766,805/133,106,910 = 133,106,910/x
  3. Step 3: Cross multiply
    61,766,805x = 133,106,910 × 133,106,910
  4. Step 4: Simplify right side
    61,766,805x = 17,717,449,489,748,100
  5. Step 5: Solve for x
    x = 17,717,449,489,748,100/61,766,805
  6. Step 6: Final answer
    x = 286,844,195.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.