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Finding the Third Proportional to 9,691,800 and 21,144,011

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Solution

The third proportional to 9,691,800 and 21,144,011 is: 46,128,603.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691,800 : 21,144,011 = 21,144,011 : x
  2. Step 2: Convert to fraction form
    9,691,800/21,144,011 = 21,144,011/x
  3. Step 3: Cross multiply
    9,691,800x = 21,144,011 × 21,144,011
  4. Step 4: Simplify right side
    9,691,800x = 447,069,201,168,121
  5. Step 5: Solve for x
    x = 447,069,201,168,121/9,691,800
  6. Step 6: Final answer
    x = 46,128,603.68

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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.