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Finding the Third Proportional to 25,725,136,538.25 and 55,724,003,500.50

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Solution

The third proportional to 25,725,136,538.25 and 55,724,003,500.50 is: 120,705,464,925.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,725,136,538.25 : 55,724,003,500.50 = 55,724,003,500.50 : x
  2. Step 2: Convert to fraction form
    25,725,136,538.25/55,724,003,500.50 = 55,724,003,500.50/x
  3. Step 3: Cross multiply
    25,725,136,538.25x = 55,724,003,500.50 × 55,724,003,500.50
  4. Step 4: Simplify right side
    25,725,136,538.25x = 3,105,164,566,123,736,203,264
  5. Step 5: Solve for x
    x = 3,105,164,566,123,736,203,264/25,725,136,538.25
  6. Step 6: Final answer
    x = 120,705,464,925.59

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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.