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Finding the Third Proportional to 13,697,537 and 20,564,326

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Solution

The third proportional to 13,697,537 and 20,564,326 is: 30,873,543.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697,537 : 20,564,326 = 20,564,326 : x
  2. Step 2: Convert to fraction form
    13,697,537/20,564,326 = 20,564,326/x
  3. Step 3: Cross multiply
    13,697,537x = 20,564,326 × 20,564,326
  4. Step 4: Simplify right side
    13,697,537x = 422,891,503,834,276
  5. Step 5: Solve for x
    x = 422,891,503,834,276/13,697,537
  6. Step 6: Final answer
    x = 30,873,543.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.