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Finding the Third Proportional to 592,336,182,754 and 1,273,816,924,153

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Solution

The third proportional to 592,336,182,754 and 1,273,816,924,153 is: 2,739,338,915,131.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,336,182,754 : 1,273,816,924,153 = 1,273,816,924,153 : x
  2. Step 2: Convert to fraction form
    592,336,182,754/1,273,816,924,153 = 1,273,816,924,153/x
  3. Step 3: Cross multiply
    592,336,182,754x = 1,273,816,924,153 × 1,273,816,924,153
  4. Step 4: Simplify right side
    592,336,182,754x = 1,622,609,556,258,609,682,186,240
  5. Step 5: Solve for x
    x = 1,622,609,556,258,609,682,186,240/592,336,182,754
  6. Step 6: Final answer
    x = 2,739,338,915,131.73

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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.