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Finding the Third Proportional to 4,431,489,862.50 and 9,598,362,849

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Solution

The third proportional to 4,431,489,862.50 and 9,598,362,849 is: 20,789,525,021.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,431,489,862.50 : 9,598,362,849 = 9,598,362,849 : x
  2. Step 2: Convert to fraction form
    4,431,489,862.50/9,598,362,849 = 9,598,362,849/x
  3. Step 3: Cross multiply
    4,431,489,862.50x = 9,598,362,849 × 9,598,362,849
  4. Step 4: Simplify right side
    4,431,489,862.50x = 92,128,569,381,063,393,280
  5. Step 5: Solve for x
    x = 92,128,569,381,063,393,280/4,431,489,862.50
  6. Step 6: Final answer
    x = 20,789,525,021.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.