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Finding the Third Proportional to 61,276,602 and 132,765,276

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Solution

The third proportional to 61,276,602 and 132,765,276 is: 287,656,592.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,276,602 : 132,765,276 = 132,765,276 : x
  2. Step 2: Convert to fraction form
    61,276,602/132,765,276 = 132,765,276/x
  3. Step 3: Cross multiply
    61,276,602x = 132,765,276 × 132,765,276
  4. Step 4: Simplify right side
    61,276,602x = 17,626,618,511,356,176
  5. Step 5: Solve for x
    x = 17,626,618,511,356,176/61,276,602
  6. Step 6: Final answer
    x = 287,656,592.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.