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Finding the Third Proportional to 551,654,442 and 1,200,163,500

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Solution

The third proportional to 551,654,442 and 1,200,163,500 is: 2,611,041,110.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,654,442 : 1,200,163,500 = 1,200,163,500 : x
  2. Step 2: Convert to fraction form
    551,654,442/1,200,163,500 = 1,200,163,500/x
  3. Step 3: Cross multiply
    551,654,442x = 1,200,163,500 × 1,200,163,500
  4. Step 4: Simplify right side
    551,654,442x = 1,440,392,426,732,250,112
  5. Step 5: Solve for x
    x = 1,440,392,426,732,250,112/551,654,442
  6. Step 6: Final answer
    x = 2,611,041,110.28

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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.