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Finding the Third Proportional to 25,725,136,620 and 55,724,003,646

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Solution

The third proportional to 25,725,136,620 and 55,724,003,646 is: 120,705,465,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,725,136,620 : 55,724,003,646 = 55,724,003,646 : x
  2. Step 2: Convert to fraction form
    25,725,136,620/55,724,003,646 = 55,724,003,646/x
  3. Step 3: Cross multiply
    25,725,136,620x = 55,724,003,646 × 55,724,003,646
  4. Step 4: Simplify right side
    25,725,136,620x = 3,105,164,582,339,421,405,184
  5. Step 5: Solve for x
    x = 3,105,164,582,339,421,405,184/25,725,136,620
  6. Step 6: Final answer
    x = 120,705,465,172.35

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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.