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Finding the Third Proportional to 551,877,642 and 1,201,732,884

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Solution

The third proportional to 551,877,642 and 1,201,732,884 is: 2,616,815,421.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,877,642 : 1,201,732,884 = 1,201,732,884 : x
  2. Step 2: Convert to fraction form
    551,877,642/1,201,732,884 = 1,201,732,884/x
  3. Step 3: Cross multiply
    551,877,642x = 1,201,732,884 × 1,201,732,884
  4. Step 4: Simplify right side
    551,877,642x = 1,444,161,924,486,957,568
  5. Step 5: Solve for x
    x = 1,444,161,924,486,957,568/551,877,642
  6. Step 6: Final answer
    x = 2,616,815,421.72

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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.