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Finding the Third Proportional to 7,241,380,029 and 15,636,656,247

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Solution

The third proportional to 7,241,380,029 and 15,636,656,247 is: 33,764,975,406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241,380,029 : 15,636,656,247 = 15,636,656,247 : x
  2. Step 2: Convert to fraction form
    7,241,380,029/15,636,656,247 = 15,636,656,247/x
  3. Step 3: Cross multiply
    7,241,380,029x = 15,636,656,247 × 15,636,656,247
  4. Step 4: Simplify right side
    7,241,380,029x = 244,505,018,586,844,135,424
  5. Step 5: Solve for x
    x = 244,505,018,586,844,135,424/7,241,380,029
  6. Step 6: Final answer
    x = 33,764,975,406.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.