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Finding the Third Proportional to 7,735,076 and 17,001,544

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Solution

The third proportional to 7,735,076 and 17,001,544 is: 37,369,057.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735,076 : 17,001,544 = 17,001,544 : x
  2. Step 2: Convert to fraction form
    7,735,076/17,001,544 = 17,001,544/x
  3. Step 3: Cross multiply
    7,735,076x = 17,001,544 × 17,001,544
  4. Step 4: Simplify right side
    7,735,076x = 289,052,498,383,936
  5. Step 5: Solve for x
    x = 289,052,498,383,936/7,735,076
  6. Step 6: Final answer
    x = 37,369,057.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.