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Finding the Third Proportional to 35,887,224 and 77,831,952

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Solution

The third proportional to 35,887,224 and 77,831,952 is: 168,801,374.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,887,224 : 77,831,952 = 77,831,952 : x
  2. Step 2: Convert to fraction form
    35,887,224/77,831,952 = 77,831,952/x
  3. Step 3: Cross multiply
    35,887,224x = 77,831,952 × 77,831,952
  4. Step 4: Simplify right side
    35,887,224x = 6,057,812,752,130,304
  5. Step 5: Solve for x
    x = 6,057,812,752,130,304/35,887,224
  6. Step 6: Final answer
    x = 168,801,374.89

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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.