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Finding the Third Proportional to 5,173,338 and 7,831,577.25

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Solution

The third proportional to 5,173,338 and 7,831,577.25 is: 11,855,711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173,338 : 7,831,577.25 = 7,831,577.25 : x
  2. Step 2: Convert to fraction form
    5,173,338/7,831,577.25 = 7,831,577.25/x
  3. Step 3: Cross multiply
    5,173,338x = 7,831,577.25 × 7,831,577.25
  4. Step 4: Simplify right side
    5,173,338x = 61,333,602,222,717.56
  5. Step 5: Solve for x
    x = 61,333,602,222,717.56/5,173,338
  6. Step 6: Final answer
    x = 11,855,711.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.