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Finding the Third Proportional to 1,168,727,112,042 and 2,513,343,635,562

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Solution

The third proportional to 1,168,727,112,042 and 2,513,343,635,562 is: 5,404,936,845,679.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168,727,112,042 : 2,513,343,635,562 = 2,513,343,635,562 : x
  2. Step 2: Convert to fraction form
    1,168,727,112,042/2,513,343,635,562 = 2,513,343,635,562/x
  3. Step 3: Cross multiply
    1,168,727,112,042x = 2,513,343,635,562 × 2,513,343,635,562
  4. Step 4: Simplify right side
    1,168,727,112,042x = 6,316,896,230,420,011,364,122,624
  5. Step 5: Solve for x
    x = 6,316,896,230,420,011,364,122,624/1,168,727,112,042
  6. Step 6: Final answer
    x = 5,404,936,845,679.17

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Why These Related Problems?

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