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Finding the Third Proportional to 4,819,920.19 and 7,045,238.25

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Solution

The third proportional to 4,819,920.19 and 7,045,238.25 is: 10,297,967.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819,920.19 : 7,045,238.25 = 7,045,238.25 : x
  2. Step 2: Convert to fraction form
    4,819,920.19/7,045,238.25 = 7,045,238.25/x
  3. Step 3: Cross multiply
    4,819,920.19x = 7,045,238.25 × 7,045,238.25
  4. Step 4: Simplify right side
    4,819,920.19x = 49,635,381,999,263.06
  5. Step 5: Solve for x
    x = 49,635,381,999,263.06/4,819,920.19
  6. Step 6: Final answer
    x = 10,297,967.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.