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Finding the Third Proportional to 7,447,966 and 11,388,537

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Solution

The third proportional to 7,447,966 and 11,388,537 is: 17,413,985.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447,966 : 11,388,537 = 11,388,537 : x
  2. Step 2: Convert to fraction form
    7,447,966/11,388,537 = 11,388,537/x
  3. Step 3: Cross multiply
    7,447,966x = 11,388,537 × 11,388,537
  4. Step 4: Simplify right side
    7,447,966x = 129,698,775,000,369
  5. Step 5: Solve for x
    x = 129,698,775,000,369/7,447,966
  6. Step 6: Final answer
    x = 17,413,985.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.