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Finding the Third Proportional to 30,717,643.50 and 65,993,940

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Solution

The third proportional to 30,717,643.50 and 65,993,940 is: 141,781,713.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,717,643.50 : 65,993,940 = 65,993,940 : x
  2. Step 2: Convert to fraction form
    30,717,643.50/65,993,940 = 65,993,940/x
  3. Step 3: Cross multiply
    30,717,643.50x = 65,993,940 × 65,993,940
  4. Step 4: Simplify right side
    30,717,643.50x = 4,355,200,116,723,600
  5. Step 5: Solve for x
    x = 4,355,200,116,723,600/30,717,643.50
  6. Step 6: Final answer
    x = 141,781,713.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.