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Finding the Third Proportional to 4,097,471.06 and 6,013,326.09

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Solution

The third proportional to 4,097,471.06 and 6,013,326.09 is: 8,824,977.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097,471.06 : 6,013,326.09 = 6,013,326.09 : x
  2. Step 2: Convert to fraction form
    4,097,471.06/6,013,326.09 = 6,013,326.09/x
  3. Step 3: Cross multiply
    4,097,471.06x = 6,013,326.09 × 6,013,326.09
  4. Step 4: Simplify right side
    4,097,471.06x = 36,160,090,709,774.63
  5. Step 5: Solve for x
    x = 36,160,090,709,774.63/4,097,471.06
  6. Step 6: Final answer
    x = 8,824,977.69

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.