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Finding the Third Proportional to 35,452,714 and 77,117,054

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Solution

The third proportional to 35,452,714 and 77,117,054 is: 167,745,691.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,452,714 : 77,117,054 = 77,117,054 : x
  2. Step 2: Convert to fraction form
    35,452,714/77,117,054 = 77,117,054/x
  3. Step 3: Cross multiply
    35,452,714x = 77,117,054 × 77,117,054
  4. Step 4: Simplify right side
    35,452,714x = 5,947,040,017,638,916
  5. Step 5: Solve for x
    x = 5,947,040,017,638,916/35,452,714
  6. Step 6: Final answer
    x = 167,745,691.28

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