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Finding the Third Proportional to 7,798,968 and 16,831,029

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Solution

The third proportional to 7,798,968 and 16,831,029 is: 36,323,208.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798,968 : 16,831,029 = 16,831,029 : x
  2. Step 2: Convert to fraction form
    7,798,968/16,831,029 = 16,831,029/x
  3. Step 3: Cross multiply
    7,798,968x = 16,831,029 × 16,831,029
  4. Step 4: Simplify right side
    7,798,968x = 283,283,537,198,841
  5. Step 5: Solve for x
    x = 283,283,537,198,841/7,798,968
  6. Step 6: Final answer
    x = 36,323,208.04

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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.