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Finding the Third Proportional to 40,449,762 and 89,145,157.50

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Solution

The third proportional to 40,449,762 and 89,145,157.50 is: 196,462,444.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,449,762 : 89,145,157.50 = 89,145,157.50 : x
  2. Step 2: Convert to fraction form
    40,449,762/89,145,157.50 = 89,145,157.50/x
  3. Step 3: Cross multiply
    40,449,762x = 89,145,157.50 × 89,145,157.50
  4. Step 4: Simplify right side
    40,449,762x = 7,946,859,105,699,806
  5. Step 5: Solve for x
    x = 7,946,859,105,699,806/40,449,762
  6. Step 6: Final answer
    x = 196,462,444.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.