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Finding the Third Proportional to 10,161,997,550 and 22,012,604,578

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Solution

The third proportional to 10,161,997,550 and 22,012,604,578 is: 47,683,022,744.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,161,997,550 : 22,012,604,578 = 22,012,604,578 : x
  2. Step 2: Convert to fraction form
    10,161,997,550/22,012,604,578 = 22,012,604,578/x
  3. Step 3: Cross multiply
    10,161,997,550x = 22,012,604,578 × 22,012,604,578
  4. Step 4: Simplify right side
    10,161,997,550x = 484,554,760,307,386,548,224
  5. Step 5: Solve for x
    x = 484,554,760,307,386,548,224/10,161,997,550
  6. Step 6: Final answer
    x = 47,683,022,744.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.