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Finding the Third Proportional to 12,092,709,844 and 26,509,942,622

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Solution

The third proportional to 12,092,709,844 and 26,509,942,622 is: 58,115,762,875.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,092,709,844 : 26,509,942,622 = 26,509,942,622 : x
  2. Step 2: Convert to fraction form
    12,092,709,844/26,509,942,622 = 26,509,942,622/x
  3. Step 3: Cross multiply
    12,092,709,844x = 26,509,942,622 × 26,509,942,622
  4. Step 4: Simplify right side
    12,092,709,844x = 702,777,057,821,732,241,408
  5. Step 5: Solve for x
    x = 702,777,057,821,732,241,408/12,092,709,844
  6. Step 6: Final answer
    x = 58,115,762,875.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.