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Finding the Third Proportional to 2,531,816,953,609 and 5,431,168,506,781

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Solution

The third proportional to 2,531,816,953,609 and 5,431,168,506,781 is: 11,650,759,865,164.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531,816,953,609 : 5,431,168,506,781 = 5,431,168,506,781 : x
  2. Step 2: Convert to fraction form
    2,531,816,953,609/5,431,168,506,781 = 5,431,168,506,781/x
  3. Step 3: Cross multiply
    2,531,816,953,609x = 5,431,168,506,781 × 5,431,168,506,781
  4. Step 4: Simplify right side
    2,531,816,953,609x = 29,497,591,349,049,759,274,893,312
  5. Step 5: Solve for x
    x = 29,497,591,349,049,759,274,893,312/2,531,816,953,609
  6. Step 6: Final answer
    x = 11,650,759,865,164.09

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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.