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Finding the Third Proportional to 10,738,819,336 and 21,783,842,796

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Solution

The third proportional to 10,738,819,336 and 21,783,842,796 is: 44,188,824,871.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,738,819,336 : 21,783,842,796 = 21,783,842,796 : x
  2. Step 2: Convert to fraction form
    10,738,819,336/21,783,842,796 = 21,783,842,796/x
  3. Step 3: Cross multiply
    10,738,819,336x = 21,783,842,796 × 21,783,842,796
  4. Step 4: Simplify right side
    10,738,819,336x = 474,535,806,960,841,129,984
  5. Step 5: Solve for x
    x = 474,535,806,960,841,129,984/10,738,819,336
  6. Step 6: Final answer
    x = 44,188,824,871.10

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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.