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Finding the Third Proportional to 66,992,902 and 145,115,276

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Solution

The third proportional to 66,992,902 and 145,115,276 is: 314,338,425.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,992,902 : 145,115,276 = 145,115,276 : x
  2. Step 2: Convert to fraction form
    66,992,902/145,115,276 = 145,115,276/x
  3. Step 3: Cross multiply
    66,992,902x = 145,115,276 × 145,115,276
  4. Step 4: Simplify right side
    66,992,902x = 21,058,443,328,556,176
  5. Step 5: Solve for x
    x = 21,058,443,328,556,176/66,992,902
  6. Step 6: Final answer
    x = 314,338,425.41

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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.