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Finding the Third Proportional to 2,602,313,934 and 3,964,486,749

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Solution

The third proportional to 2,602,313,934 and 3,964,486,749 is: 6,039,684,519.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602,313,934 : 3,964,486,749 = 3,964,486,749 : x
  2. Step 2: Convert to fraction form
    2,602,313,934/3,964,486,749 = 3,964,486,749/x
  3. Step 3: Cross multiply
    2,602,313,934x = 3,964,486,749 × 3,964,486,749
  4. Step 4: Simplify right side
    2,602,313,934x = 15,717,155,182,996,588,544
  5. Step 5: Solve for x
    x = 15,717,155,182,996,588,544/2,602,313,934
  6. Step 6: Final answer
    x = 6,039,684,519.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.