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Finding the Third Proportional to 36,477,144 and 56,924,098.50

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Solution

The third proportional to 36,477,144 and 56,924,098.50 is: 88,832,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,477,144 : 56,924,098.50 = 56,924,098.50 : x
  2. Step 2: Convert to fraction form
    36,477,144/56,924,098.50 = 56,924,098.50/x
  3. Step 3: Cross multiply
    36,477,144x = 56,924,098.50 × 56,924,098.50
  4. Step 4: Simplify right side
    36,477,144x = 3,240,352,990,037,702
  5. Step 5: Solve for x
    x = 3,240,352,990,037,702/36,477,144
  6. Step 6: Final answer
    x = 88,832,420.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.