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Finding the Third Proportional to 2,214,221.63 and 4,768,035.75

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Solution

The third proportional to 2,214,221.63 and 4,768,035.75 is: 10,267,339.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214,221.63 : 4,768,035.75 = 4,768,035.75 : x
  2. Step 2: Convert to fraction form
    2,214,221.63/4,768,035.75 = 4,768,035.75/x
  3. Step 3: Cross multiply
    2,214,221.63x = 4,768,035.75 × 4,768,035.75
  4. Step 4: Simplify right side
    2,214,221.63x = 22,734,164,913,278.06
  5. Step 5: Solve for x
    x = 22,734,164,913,278.06/2,214,221.63
  6. Step 6: Final answer
    x = 10,267,339.39

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.