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Finding the Third Proportional to 14,031,967.50 and 30,003,019.50

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Solution

The third proportional to 14,031,967.50 and 30,003,019.50 is: 64,152,171.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,031,967.50 : 30,003,019.50 = 30,003,019.50 : x
  2. Step 2: Convert to fraction form
    14,031,967.50/30,003,019.50 = 30,003,019.50/x
  3. Step 3: Cross multiply
    14,031,967.50x = 30,003,019.50 × 30,003,019.50
  4. Step 4: Simplify right side
    14,031,967.50x = 900,181,179,117,380.25
  5. Step 5: Solve for x
    x = 900,181,179,117,380.25/14,031,967.50
  6. Step 6: Final answer
    x = 64,152,171.04

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Why These Related Problems?

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