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Finding the Third Proportional to 5,890,369 and 9,115,489

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Solution

The third proportional to 5,890,369 and 9,115,489 is: 14,106,440.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890,369 : 9,115,489 = 9,115,489 : x
  2. Step 2: Convert to fraction form
    5,890,369/9,115,489 = 9,115,489/x
  3. Step 3: Cross multiply
    5,890,369x = 9,115,489 × 9,115,489
  4. Step 4: Simplify right side
    5,890,369x = 83,092,139,709,121
  5. Step 5: Solve for x
    x = 83,092,139,709,121/5,890,369
  6. Step 6: Final answer
    x = 14,106,440.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.