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Finding the Third Proportional to 2,023,347,838 and 3,035,021,554

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Solution

The third proportional to 2,023,347,838 and 3,035,021,554 is: 4,552,532,026.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,347,838 : 3,035,021,554 = 3,035,021,554 : x
  2. Step 2: Convert to fraction form
    2,023,347,838/3,035,021,554 = 3,035,021,554/x
  3. Step 3: Cross multiply
    2,023,347,838x = 3,035,021,554 × 3,035,021,554
  4. Step 4: Simplify right side
    2,023,347,838x = 9,211,355,833,244,574,720
  5. Step 5: Solve for x
    x = 9,211,355,833,244,574,720/2,023,347,838
  6. Step 6: Final answer
    x = 4,552,532,026.50

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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.