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Finding the Third Proportional to 25,827,811.50 and 56,195,506.50

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Solution

The third proportional to 25,827,811.50 and 56,195,506.50 is: 122,268,778.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,827,811.50 : 56,195,506.50 = 56,195,506.50 : x
  2. Step 2: Convert to fraction form
    25,827,811.50/56,195,506.50 = 56,195,506.50/x
  3. Step 3: Cross multiply
    25,827,811.50x = 56,195,506.50 × 56,195,506.50
  4. Step 4: Simplify right side
    25,827,811.50x = 3,157,934,950,791,542
  5. Step 5: Solve for x
    x = 3,157,934,950,791,542/25,827,811.50
  6. Step 6: Final answer
    x = 122,268,778.01

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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.