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Finding the Third Proportional to 30,760,126 and 66,801,321

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Solution

The third proportional to 30,760,126 and 66,801,321 is: 145,071,463.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,760,126 : 66,801,321 = 66,801,321 : x
  2. Step 2: Convert to fraction form
    30,760,126/66,801,321 = 66,801,321/x
  3. Step 3: Cross multiply
    30,760,126x = 66,801,321 × 66,801,321
  4. Step 4: Simplify right side
    30,760,126x = 4,462,416,487,345,041
  5. Step 5: Solve for x
    x = 4,462,416,487,345,041/30,760,126
  6. Step 6: Final answer
    x = 145,071,463.21

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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.