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Finding the Third Proportional to 6,283,901.25 and 9,608,461.88

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Solution

The third proportional to 6,283,901.25 and 9,608,461.88 is: 14,691,914.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283,901.25 : 9,608,461.88 = 9,608,461.88 : x
  2. Step 2: Convert to fraction form
    6,283,901.25/9,608,461.88 = 9,608,461.88/x
  3. Step 3: Cross multiply
    6,283,901.25x = 9,608,461.88 × 9,608,461.88
  4. Step 4: Simplify right side
    6,283,901.25x = 92,322,539,603,328.52
  5. Step 5: Solve for x
    x = 92,322,539,603,328.52/6,283,901.25
  6. Step 6: Final answer
    x = 14,691,914.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.