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Finding the Third Proportional to 2,023,347,943 and 3,035,021,708

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Solution

The third proportional to 2,023,347,943 and 3,035,021,708 is: 4,552,532,252.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,347,943 : 3,035,021,708 = 3,035,021,708 : x
  2. Step 2: Convert to fraction form
    2,023,347,943/3,035,021,708 = 3,035,021,708/x
  3. Step 3: Cross multiply
    2,023,347,943x = 3,035,021,708 × 3,035,021,708
  4. Step 4: Simplify right side
    2,023,347,943x = 9,211,356,768,031,237,120
  5. Step 5: Solve for x
    x = 9,211,356,768,031,237,120/2,023,347,943
  6. Step 6: Final answer
    x = 4,552,532,252.25

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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.