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Finding the Third Proportional to 2,023,346,398.50 and 3,035,019,597.75

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Solution

The third proportional to 2,023,346,398.50 and 3,035,019,597.75 is: 4,552,529,396.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,346,398.50 : 3,035,019,597.75 = 3,035,019,597.75 : x
  2. Step 2: Convert to fraction form
    2,023,346,398.50/3,035,019,597.75 = 3,035,019,597.75/x
  3. Step 3: Cross multiply
    2,023,346,398.50x = 3,035,019,597.75 × 3,035,019,597.75
  4. Step 4: Simplify right side
    2,023,346,398.50x = 9,211,343,958,726,572,032
  5. Step 5: Solve for x
    x = 9,211,343,958,726,572,032/2,023,346,398.50
  6. Step 6: Final answer
    x = 4,552,529,396.63

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.