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Finding the Third Proportional to 35,887,200 and 77,831,904

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Solution

The third proportional to 35,887,200 and 77,831,904 is: 168,801,279.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,887,200 : 77,831,904 = 77,831,904 : x
  2. Step 2: Convert to fraction form
    35,887,200/77,831,904 = 77,831,904/x
  3. Step 3: Cross multiply
    35,887,200x = 77,831,904 × 77,831,904
  4. Step 4: Simplify right side
    35,887,200x = 6,057,805,280,265,216
  5. Step 5: Solve for x
    x = 6,057,805,280,265,216/35,887,200
  6. Step 6: Final answer
    x = 168,801,279.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.