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Finding the Third Proportional to 666,154,611 and 1,443,513,190.50

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Solution

The third proportional to 666,154,611 and 1,443,513,190.50 is: 3,127,998,060.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,154,611 : 1,443,513,190.50 = 1,443,513,190.50 : x
  2. Step 2: Convert to fraction form
    666,154,611/1,443,513,190.50 = 1,443,513,190.50/x
  3. Step 3: Cross multiply
    666,154,611x = 1,443,513,190.50 × 1,443,513,190.50
  4. Step 4: Simplify right side
    666,154,611x = 2,083,730,331,147,489,280
  5. Step 5: Solve for x
    x = 2,083,730,331,147,489,280/666,154,611
  6. Step 6: Final answer
    x = 3,127,998,060.42

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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.