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Finding the Third Proportional to 4,475,619.88 and 6,841,862.88

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Solution

The third proportional to 4,475,619.88 and 6,841,862.88 is: 10,459,129.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,475,619.88 : 6,841,862.88 = 6,841,862.88 : x
  2. Step 2: Convert to fraction form
    4,475,619.88/6,841,862.88 = 6,841,862.88/x
  3. Step 3: Cross multiply
    4,475,619.88x = 6,841,862.88 × 6,841,862.88
  4. Step 4: Simplify right side
    4,475,619.88x = 46,811,087,600,303.27
  5. Step 5: Solve for x
    x = 46,811,087,600,303.27/4,475,619.88
  6. Step 6: Final answer
    x = 10,459,129.44

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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.