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Finding the Third Proportional to 9,105,821,196 and 20,305,365,747

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Solution

The third proportional to 9,105,821,196 and 20,305,365,747 is: 45,279,593,047.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105,821,196 : 20,305,365,747 = 20,305,365,747 : x
  2. Step 2: Convert to fraction form
    9,105,821,196/20,305,365,747 = 20,305,365,747/x
  3. Step 3: Cross multiply
    9,105,821,196x = 20,305,365,747 × 20,305,365,747
  4. Step 4: Simplify right side
    9,105,821,196x = 412,307,878,119,440,842,752
  5. Step 5: Solve for x
    x = 412,307,878,119,440,842,752/9,105,821,196
  6. Step 6: Final answer
    x = 45,279,593,047.64

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.