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Finding the Third Proportional to 35,097,675.75 and 54,771,261.75

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Solution

The third proportional to 35,097,675.75 and 54,771,261.75 is: 85,472,643.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,097,675.75 : 54,771,261.75 = 54,771,261.75 : x
  2. Step 2: Convert to fraction form
    35,097,675.75/54,771,261.75 = 54,771,261.75/x
  3. Step 3: Cross multiply
    35,097,675.75x = 54,771,261.75 × 54,771,261.75
  4. Step 4: Simplify right side
    35,097,675.75x = 2,999,891,113,687,013
  5. Step 5: Solve for x
    x = 2,999,891,113,687,013/35,097,675.75
  6. Step 6: Final answer
    x = 85,472,643.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.