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Finding the Third Proportional to 66,762,192 and 140,697,636

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Solution

The third proportional to 66,762,192 and 140,697,636 is: 296,512,504.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,762,192 : 140,697,636 = 140,697,636 : x
  2. Step 2: Convert to fraction form
    66,762,192/140,697,636 = 140,697,636/x
  3. Step 3: Cross multiply
    66,762,192x = 140,697,636 × 140,697,636
  4. Step 4: Simplify right side
    66,762,192x = 19,795,824,775,988,496
  5. Step 5: Solve for x
    x = 19,795,824,775,988,496/66,762,192
  6. Step 6: Final answer
    x = 296,512,504.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.