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Finding the Third Proportional to 847,714,861,062 and 1,302,998,519,313

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Solution

The third proportional to 847,714,861,062 and 1,302,998,519,313 is: 2,002,802,144,113.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,714,861,062 : 1,302,998,519,313 = 1,302,998,519,313 : x
  2. Step 2: Convert to fraction form
    847,714,861,062/1,302,998,519,313 = 1,302,998,519,313/x
  3. Step 3: Cross multiply
    847,714,861,062x = 1,302,998,519,313 × 1,302,998,519,313
  4. Step 4: Simplify right side
    847,714,861,062x = 1,697,805,141,331,870,488,723,456
  5. Step 5: Solve for x
    x = 1,697,805,141,331,870,488,723,456/847,714,861,062
  6. Step 6: Final answer
    x = 2,002,802,144,113.52

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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.