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Finding the Third Proportional to 440,651,560 and 666,644,708

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Solution

The third proportional to 440,651,560 and 666,644,708 is: 1,008,541,003.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,651,560 : 666,644,708 = 666,644,708 : x
  2. Step 2: Convert to fraction form
    440,651,560/666,644,708 = 666,644,708/x
  3. Step 3: Cross multiply
    440,651,560x = 666,644,708 × 666,644,708
  4. Step 4: Simplify right side
    440,651,560x = 444,415,166,704,405,248
  5. Step 5: Solve for x
    x = 444,415,166,704,405,248/440,651,560
  6. Step 6: Final answer
    x = 1,008,541,003.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.