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Finding the Third Proportional to 1,168,727,112,000 and 2,513,343,635,478

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Solution

The third proportional to 1,168,727,112,000 and 2,513,343,635,478 is: 5,404,936,845,512.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168,727,112,000 : 2,513,343,635,478 = 2,513,343,635,478 : x
  2. Step 2: Convert to fraction form
    1,168,727,112,000/2,513,343,635,478 = 2,513,343,635,478/x
  3. Step 3: Cross multiply
    1,168,727,112,000x = 2,513,343,635,478 × 2,513,343,635,478
  4. Step 4: Simplify right side
    1,168,727,112,000x = 6,316,896,229,997,769,908,027,392
  5. Step 5: Solve for x
    x = 6,316,896,229,997,769,908,027,392/1,168,727,112,000
  6. Step 6: Final answer
    x = 5,404,936,845,512.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.