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Finding the Third Proportional to 35,380,880 and 77,165,344

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Solution

The third proportional to 35,380,880 and 77,165,344 is: 168,296,840.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,380,880 : 77,165,344 = 77,165,344 : x
  2. Step 2: Convert to fraction form
    35,380,880/77,165,344 = 77,165,344/x
  3. Step 3: Cross multiply
    35,380,880x = 77,165,344 × 77,165,344
  4. Step 4: Simplify right side
    35,380,880x = 5,954,490,314,638,336
  5. Step 5: Solve for x
    x = 5,954,490,314,638,336/35,380,880
  6. Step 6: Final answer
    x = 168,296,840.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.