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Finding the Third Proportional to 2,748,022.50 and 5,873,417.25

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Solution

The third proportional to 2,748,022.50 and 5,873,417.25 is: 12,553,401.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748,022.50 : 5,873,417.25 = 5,873,417.25 : x
  2. Step 2: Convert to fraction form
    2,748,022.50/5,873,417.25 = 5,873,417.25/x
  3. Step 3: Cross multiply
    2,748,022.50x = 5,873,417.25 × 5,873,417.25
  4. Step 4: Simplify right side
    2,748,022.50x = 34,497,030,192,597.56
  5. Step 5: Solve for x
    x = 34,497,030,192,597.56/2,748,022.50
  6. Step 6: Final answer
    x = 12,553,401.65

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.