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Finding the Third Proportional to 10,161,997,534 and 22,012,604,552

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Solution

The third proportional to 10,161,997,534 and 22,012,604,552 is: 47,683,022,707.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,161,997,534 : 22,012,604,552 = 22,012,604,552 : x
  2. Step 2: Convert to fraction form
    10,161,997,534/22,012,604,552 = 22,012,604,552/x
  3. Step 3: Cross multiply
    10,161,997,534x = 22,012,604,552 × 22,012,604,552
  4. Step 4: Simplify right side
    10,161,997,534x = 484,554,759,162,731,102,208
  5. Step 5: Solve for x
    x = 484,554,759,162,731,102,208/10,161,997,534
  6. Step 6: Final answer
    x = 47,683,022,707.05

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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.