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Finding the Third Proportional to 639,799,611,264 and 1,332,555,060,024

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Solution

The third proportional to 639,799,611,264 and 1,332,555,060,024 is: 2,775,404,918,561.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,799,611,264 : 1,332,555,060,024 = 1,332,555,060,024 : x
  2. Step 2: Convert to fraction form
    639,799,611,264/1,332,555,060,024 = 1,332,555,060,024/x
  3. Step 3: Cross multiply
    639,799,611,264x = 1,332,555,060,024 × 1,332,555,060,024
  4. Step 4: Simplify right side
    639,799,611,264x = 1,775,702,987,995,566,357,610,496
  5. Step 5: Solve for x
    x = 1,775,702,987,995,566,357,610,496/639,799,611,264
  6. Step 6: Final answer
    x = 2,775,404,918,561.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.