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Finding the Third Proportional to 35,262,598.50 and 54,489,678.75

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Solution

The third proportional to 35,262,598.50 and 54,489,678.75 is: 84,200,405.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,262,598.50 : 54,489,678.75 = 54,489,678.75 : x
  2. Step 2: Convert to fraction form
    35,262,598.50/54,489,678.75 = 54,489,678.75/x
  3. Step 3: Cross multiply
    35,262,598.50x = 54,489,678.75 × 54,489,678.75
  4. Step 4: Simplify right side
    35,262,598.50x = 2,969,125,090,278,201.50
  5. Step 5: Solve for x
    x = 2,969,125,090,278,201.50/35,262,598.50
  6. Step 6: Final answer
    x = 84,200,405.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.