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Finding the Third Proportional to 61,403,012 and 133,166,276

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Solution

The third proportional to 61,403,012 and 133,166,276 is: 288,801,094.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,403,012 : 133,166,276 = 133,166,276 : x
  2. Step 2: Convert to fraction form
    61,403,012/133,166,276 = 133,166,276/x
  3. Step 3: Cross multiply
    61,403,012x = 133,166,276 × 133,166,276
  4. Step 4: Simplify right side
    61,403,012x = 17,733,257,063,708,176
  5. Step 5: Solve for x
    x = 17,733,257,063,708,176/61,403,012
  6. Step 6: Final answer
    x = 288,801,094.38

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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.