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Finding the Third Proportional to 2,009,841.61 and 4,381,016.63

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Solution

The third proportional to 2,009,841.61 and 4,381,016.63 is: 9,549,661.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009,841.61 : 4,381,016.63 = 4,381,016.63 : x
  2. Step 2: Convert to fraction form
    2,009,841.61/4,381,016.63 = 4,381,016.63/x
  3. Step 3: Cross multiply
    2,009,841.61x = 4,381,016.63 × 4,381,016.63
  4. Step 4: Simplify right side
    2,009,841.61x = 19,193,306,668,526.39
  5. Step 5: Solve for x
    x = 19,193,306,668,526.39/2,009,841.61
  6. Step 6: Final answer
    x = 9,549,661.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.