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Finding the Third Proportional to 847,714,861,011 and 1,302,998,519,236.50

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Solution

The third proportional to 847,714,861,011 and 1,302,998,519,236.50 is: 2,002,802,143,998.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,714,861,011 : 1,302,998,519,236.50 = 1,302,998,519,236.50 : x
  2. Step 2: Convert to fraction form
    847,714,861,011/1,302,998,519,236.50 = 1,302,998,519,236.50/x
  3. Step 3: Cross multiply
    847,714,861,011x = 1,302,998,519,236.50 × 1,302,998,519,236.50
  4. Step 4: Simplify right side
    847,714,861,011x = 1,697,805,141,132,511,528,615,936
  5. Step 5: Solve for x
    x = 1,697,805,141,132,511,528,615,936/847,714,861,011
  6. Step 6: Final answer
    x = 2,002,802,143,998.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.