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Finding the Third Proportional to 10,466,166.75 and 14,136,274.13

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Solution

The third proportional to 10,466,166.75 and 14,136,274.13 is: 19,093,355.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466,166.75 : 14,136,274.13 = 14,136,274.13 : x
  2. Step 2: Convert to fraction form
    10,466,166.75/14,136,274.13 = 14,136,274.13/x
  3. Step 3: Cross multiply
    10,466,166.75x = 14,136,274.13 × 14,136,274.13
  4. Step 4: Simplify right side
    10,466,166.75x = 199,834,246,137,144.50
  5. Step 5: Solve for x
    x = 199,834,246,137,144.50/10,466,166.75
  6. Step 6: Final answer
    x = 19,093,355.85

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.