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Finding the Third Proportional to 10,738,819,281 and 21,783,842,691

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Solution

The third proportional to 10,738,819,281 and 21,783,842,691 is: 44,188,824,671.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,738,819,281 : 21,783,842,691 = 21,783,842,691 : x
  2. Step 2: Convert to fraction form
    10,738,819,281/21,783,842,691 = 21,783,842,691/x
  3. Step 3: Cross multiply
    10,738,819,281x = 21,783,842,691 × 21,783,842,691
  4. Step 4: Simplify right side
    10,738,819,281x = 474,535,802,386,234,146,816
  5. Step 5: Solve for x
    x = 474,535,802,386,234,146,816/10,738,819,281
  6. Step 6: Final answer
    x = 44,188,824,671.43

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.