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Finding the Third Proportional to 2,023,346,397 and 3,035,019,594.75

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Solution

The third proportional to 2,023,346,397 and 3,035,019,594.75 is: 4,552,529,391

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,346,397 : 3,035,019,594.75 = 3,035,019,594.75 : x
  2. Step 2: Convert to fraction form
    2,023,346,397/3,035,019,594.75 = 3,035,019,594.75/x
  3. Step 3: Cross multiply
    2,023,346,397x = 3,035,019,594.75 × 3,035,019,594.75
  4. Step 4: Simplify right side
    2,023,346,397x = 9,211,343,940,516,454,400
  5. Step 5: Solve for x
    x = 9,211,343,940,516,454,400/2,023,346,397
  6. Step 6: Final answer
    x = 4,552,529,391

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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.