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Finding the Third Proportional to 1,301,211,864 and 1,982,313,000

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Solution

The third proportional to 1,301,211,864 and 1,982,313,000 is: 3,019,926,991.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301,211,864 : 1,982,313,000 = 1,982,313,000 : x
  2. Step 2: Convert to fraction form
    1,301,211,864/1,982,313,000 = 1,982,313,000/x
  3. Step 3: Cross multiply
    1,301,211,864x = 1,982,313,000 × 1,982,313,000
  4. Step 4: Simplify right side
    1,301,211,864x = 3,929,564,829,968,999,936
  5. Step 5: Solve for x
    x = 3,929,564,829,968,999,936/1,301,211,864
  6. Step 6: Final answer
    x = 3,019,926,991.67

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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.