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Finding the Third Proportional to 4,097,901.63 and 6,013,992.13

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Solution

The third proportional to 4,097,901.63 and 6,013,992.13 is: 8,826,005.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097,901.63 : 6,013,992.13 = 6,013,992.13 : x
  2. Step 2: Convert to fraction form
    4,097,901.63/6,013,992.13 = 6,013,992.13/x
  3. Step 3: Cross multiply
    4,097,901.63x = 6,013,992.13 × 6,013,992.13
  4. Step 4: Simplify right side
    4,097,901.63x = 36,168,101,279,562.02
  5. Step 5: Solve for x
    x = 36,168,101,279,562.02/4,097,901.63
  6. Step 6: Final answer
    x = 8,826,005.26

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Why These Related Problems?

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