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Finding the Third Proportional to 6,588,289,435 and 10,036,803,231

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Solution

The third proportional to 6,588,289,435 and 10,036,803,231 is: 15,290,375,459.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588,289,435 : 10,036,803,231 = 10,036,803,231 : x
  2. Step 2: Convert to fraction form
    6,588,289,435/10,036,803,231 = 10,036,803,231/x
  3. Step 3: Cross multiply
    6,588,289,435x = 10,036,803,231 × 10,036,803,231
  4. Step 4: Simplify right side
    6,588,289,435x = 100,737,419,097,812,041,728
  5. Step 5: Solve for x
    x = 100,737,419,097,812,041,728/6,588,289,435
  6. Step 6: Final answer
    x = 15,290,375,459.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.