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Finding the Third Proportional to 3,699,740 and 8,070,025

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Solution

The third proportional to 3,699,740 and 8,070,025 is: 17,602,670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699,740 : 8,070,025 = 8,070,025 : x
  2. Step 2: Convert to fraction form
    3,699,740/8,070,025 = 8,070,025/x
  3. Step 3: Cross multiply
    3,699,740x = 8,070,025 × 8,070,025
  4. Step 4: Simplify right side
    3,699,740x = 65,125,303,500,625
  5. Step 5: Solve for x
    x = 65,125,303,500,625/3,699,740
  6. Step 6: Final answer
    x = 17,602,670.32

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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.