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Finding the Third Proportional to 3,788,640 and 8,114,688

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Solution

The third proportional to 3,788,640 and 8,114,688 is: 17,380,421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788,640 : 8,114,688 = 8,114,688 : x
  2. Step 2: Convert to fraction form
    3,788,640/8,114,688 = 8,114,688/x
  3. Step 3: Cross multiply
    3,788,640x = 8,114,688 × 8,114,688
  4. Step 4: Simplify right side
    3,788,640x = 65,848,161,337,344
  5. Step 5: Solve for x
    x = 65,848,161,337,344/3,788,640
  6. Step 6: Final answer
    x = 17,380,421.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.