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Finding the Third Proportional to 15,900,711,772.50 and 23,544,057,009

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Solution

The third proportional to 15,900,711,772.50 and 23,544,057,009 is: 34,861,497,294.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,900,711,772.50 : 23,544,057,009 = 23,544,057,009 : x
  2. Step 2: Convert to fraction form
    15,900,711,772.50/23,544,057,009 = 23,544,057,009/x
  3. Step 3: Cross multiply
    15,900,711,772.50x = 23,544,057,009 × 23,544,057,009
  4. Step 4: Simplify right side
    15,900,711,772.50x = 554,322,620,443,042,054,144
  5. Step 5: Solve for x
    x = 554,322,620,443,042,054,144/15,900,711,772.50
  6. Step 6: Final answer
    x = 34,861,497,294.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.