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Finding the Third Proportional to 11,194,288,623 and 24,497,345,501

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Solution

The third proportional to 11,194,288,623 and 24,497,345,501 is: 53,609,475,046.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,194,288,623 : 24,497,345,501 = 24,497,345,501 : x
  2. Step 2: Convert to fraction form
    11,194,288,623/24,497,345,501 = 24,497,345,501/x
  3. Step 3: Cross multiply
    11,194,288,623x = 24,497,345,501 × 24,497,345,501
  4. Step 4: Simplify right side
    11,194,288,623x = 600,119,936,595,364,937,728
  5. Step 5: Solve for x
    x = 600,119,936,595,364,937,728/11,194,288,623
  6. Step 6: Final answer
    x = 53,609,475,046.26

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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.