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Finding the Third Proportional to 6,897,740 and 10,442,037

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Solution

The third proportional to 6,897,740 and 10,442,037 is: 15,807,516.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897,740 : 10,442,037 = 10,442,037 : x
  2. Step 2: Convert to fraction form
    6,897,740/10,442,037 = 10,442,037/x
  3. Step 3: Cross multiply
    6,897,740x = 10,442,037 × 10,442,037
  4. Step 4: Simplify right side
    6,897,740x = 109,036,136,709,369
  5. Step 5: Solve for x
    x = 109,036,136,709,369/6,897,740
  6. Step 6: Final answer
    x = 15,807,516.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.