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Finding the Third Proportional to 9,700,832 and 21,123,926

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Solution

The third proportional to 9,700,832 and 21,123,926 is: 45,998,142.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700,832 : 21,123,926 = 21,123,926 : x
  2. Step 2: Convert to fraction form
    9,700,832/21,123,926 = 21,123,926/x
  3. Step 3: Cross multiply
    9,700,832x = 21,123,926 × 21,123,926
  4. Step 4: Simplify right side
    9,700,832x = 446,220,249,653,476
  5. Step 5: Solve for x
    x = 446,220,249,653,476/9,700,832
  6. Step 6: Final answer
    x = 45,998,142.19

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Why These Related Problems?

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