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Finding the Third Proportional to 36,023,572.50 and 77,518,186.50

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Solution

The third proportional to 36,023,572.50 and 77,518,186.50 is: 166,809,364.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,023,572.50 : 77,518,186.50 = 77,518,186.50 : x
  2. Step 2: Convert to fraction form
    36,023,572.50/77,518,186.50 = 77,518,186.50/x
  3. Step 3: Cross multiply
    36,023,572.50x = 77,518,186.50 × 77,518,186.50
  4. Step 4: Simplify right side
    36,023,572.50x = 6,009,069,238,248,782
  5. Step 5: Solve for x
    x = 6,009,069,238,248,782/36,023,572.50
  6. Step 6: Final answer
    x = 166,809,364.57

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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.