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Finding the Third Proportional to 5,574,615.75 and 8,119,244.25

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Solution

The third proportional to 5,574,615.75 and 8,119,244.25 is: 11,825,411.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574,615.75 : 8,119,244.25 = 8,119,244.25 : x
  2. Step 2: Convert to fraction form
    5,574,615.75/8,119,244.25 = 8,119,244.25/x
  3. Step 3: Cross multiply
    5,574,615.75x = 8,119,244.25 × 8,119,244.25
  4. Step 4: Simplify right side
    5,574,615.75x = 65,922,127,191,158.06
  5. Step 5: Solve for x
    x = 65,922,127,191,158.06/5,574,615.75
  6. Step 6: Final answer
    x = 11,825,411.86

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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.