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Finding the Third Proportional to 7,799,033 and 16,831,163

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Solution

The third proportional to 7,799,033 and 16,831,163 is: 36,323,483.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,799,033 : 16,831,163 = 16,831,163 : x
  2. Step 2: Convert to fraction form
    7,799,033/16,831,163 = 16,831,163/x
  3. Step 3: Cross multiply
    7,799,033x = 16,831,163 × 16,831,163
  4. Step 4: Simplify right side
    7,799,033x = 283,288,047,932,569
  5. Step 5: Solve for x
    x = 283,288,047,932,569/7,799,033
  6. Step 6: Final answer
    x = 36,323,483.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.