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Finding the Third Proportional to 76,224,672 and 163,514,592

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Solution

The third proportional to 76,224,672 and 163,514,592 is: 350,765,980.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,224,672 : 163,514,592 = 163,514,592 : x
  2. Step 2: Convert to fraction form
    76,224,672/163,514,592 = 163,514,592/x
  3. Step 3: Cross multiply
    76,224,672x = 163,514,592 × 163,514,592
  4. Step 4: Simplify right side
    76,224,672x = 26,737,021,796,926,464
  5. Step 5: Solve for x
    x = 26,737,021,796,926,464/76,224,672
  6. Step 6: Final answer
    x = 350,765,980.30

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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.