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Finding the Third Proportional to 4,658,158.50 and 10,136,440.50

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Solution

The third proportional to 4,658,158.50 and 10,136,440.50 is: 22,057,520.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658,158.50 : 10,136,440.50 = 10,136,440.50 : x
  2. Step 2: Convert to fraction form
    4,658,158.50/10,136,440.50 = 10,136,440.50/x
  3. Step 3: Cross multiply
    4,658,158.50x = 10,136,440.50 × 10,136,440.50
  4. Step 4: Simplify right side
    4,658,158.50x = 102,747,426,010,040.25
  5. Step 5: Solve for x
    x = 102,747,426,010,040.25/4,658,158.50
  6. Step 6: Final answer
    x = 22,057,520.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.