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Finding the Third Proportional to 551,654,444 and 1,200,163,504

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Solution

The third proportional to 551,654,444 and 1,200,163,504 is: 2,611,041,118.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,654,444 : 1,200,163,504 = 1,200,163,504 : x
  2. Step 2: Convert to fraction form
    551,654,444/1,200,163,504 = 1,200,163,504/x
  3. Step 3: Cross multiply
    551,654,444x = 1,200,163,504 × 1,200,163,504
  4. Step 4: Simplify right side
    551,654,444x = 1,440,392,436,333,558,016
  5. Step 5: Solve for x
    x = 1,440,392,436,333,558,016/551,654,444
  6. Step 6: Final answer
    x = 2,611,041,118.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.