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Finding the Third Proportional to 10,624,819,621 and 15,878,670,318

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Solution

The third proportional to 10,624,819,621 and 15,878,670,318 is: 23,730,489,557.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624,819,621 : 15,878,670,318 = 15,878,670,318 : x
  2. Step 2: Convert to fraction form
    10,624,819,621/15,878,670,318 = 15,878,670,318/x
  3. Step 3: Cross multiply
    10,624,819,621x = 15,878,670,318 × 15,878,670,318
  4. Step 4: Simplify right side
    10,624,819,621x = 252,132,171,067,734,228,992
  5. Step 5: Solve for x
    x = 252,132,171,067,734,228,992/10,624,819,621
  6. Step 6: Final answer
    x = 23,730,489,557.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.