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Finding the Third Proportional to 25,725,136,548 and 55,724,003,520

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Solution

The third proportional to 25,725,136,548 and 55,724,003,520 is: 120,705,464,964.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,725,136,548 : 55,724,003,520 = 55,724,003,520 : x
  2. Step 2: Convert to fraction form
    25,725,136,548/55,724,003,520 = 55,724,003,520/x
  3. Step 3: Cross multiply
    25,725,136,548x = 55,724,003,520 × 55,724,003,520
  4. Step 4: Simplify right side
    25,725,136,548x = 3,105,164,568,296,972,353,536
  5. Step 5: Solve for x
    x = 3,105,164,568,296,972,353,536/25,725,136,548
  6. Step 6: Final answer
    x = 120,705,464,964.32

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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.