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Finding the Third Proportional to 6,396,157.50 and 14,137,594.50

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Solution

The third proportional to 6,396,157.50 and 14,137,594.50 is: 31,248,695.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396,157.50 : 14,137,594.50 = 14,137,594.50 : x
  2. Step 2: Convert to fraction form
    6,396,157.50/14,137,594.50 = 14,137,594.50/x
  3. Step 3: Cross multiply
    6,396,157.50x = 14,137,594.50 × 14,137,594.50
  4. Step 4: Simplify right side
    6,396,157.50x = 199,871,578,246,430.25
  5. Step 5: Solve for x
    x = 199,871,578,246,430.25/6,396,157.50
  6. Step 6: Final answer
    x = 31,248,695.52

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.