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Finding the Third Proportional to 4,570,450,199.50 and 6,436,201,024

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Solution

The third proportional to 4,570,450,199.50 and 6,436,201,024 is: 9,063,589,321.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570,450,199.50 : 6,436,201,024 = 6,436,201,024 : x
  2. Step 2: Convert to fraction form
    4,570,450,199.50/6,436,201,024 = 6,436,201,024/x
  3. Step 3: Cross multiply
    4,570,450,199.50x = 6,436,201,024 × 6,436,201,024
  4. Step 4: Simplify right side
    4,570,450,199.50x = 41,424,683,621,338,644,480
  5. Step 5: Solve for x
    x = 41,424,683,621,338,644,480/4,570,450,199.50
  6. Step 6: Final answer
    x = 9,063,589,321.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.