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Finding the Third Proportional to 5,822,408,644 and 8,326,108,420

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Solution

The third proportional to 5,822,408,644 and 8,326,108,420 is: 11,906,426,645.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822,408,644 : 8,326,108,420 = 8,326,108,420 : x
  2. Step 2: Convert to fraction form
    5,822,408,644/8,326,108,420 = 8,326,108,420/x
  3. Step 3: Cross multiply
    5,822,408,644x = 8,326,108,420 × 8,326,108,420
  4. Step 4: Simplify right side
    5,822,408,644x = 69,324,081,421,594,894,336
  5. Step 5: Solve for x
    x = 69,324,081,421,594,894,336/5,822,408,644
  6. Step 6: Final answer
    x = 11,906,426,645.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.