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Finding the Third Proportional to 2,023,346,430 and 3,035,019,642

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Solution

The third proportional to 2,023,346,430 and 3,035,019,642 is: 4,552,529,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,346,430 : 3,035,019,642 = 3,035,019,642 : x
  2. Step 2: Convert to fraction form
    2,023,346,430/3,035,019,642 = 3,035,019,642/x
  3. Step 3: Cross multiply
    2,023,346,430x = 3,035,019,642 × 3,035,019,642
  4. Step 4: Simplify right side
    2,023,346,430x = 9,211,344,227,325,808,640
  5. Step 5: Solve for x
    x = 9,211,344,227,325,808,640/2,023,346,430
  6. Step 6: Final answer
    x = 4,552,529,458.50

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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.