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Finding the Third Proportional to 329,653,556,420 and 714,072,631,026

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Solution

The third proportional to 329,653,556,420 and 714,072,631,026 is: 1,546,774,522,677.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,653,556,420 : 714,072,631,026 = 714,072,631,026 : x
  2. Step 2: Convert to fraction form
    329,653,556,420/714,072,631,026 = 714,072,631,026/x
  3. Step 3: Cross multiply
    329,653,556,420x = 714,072,631,026 × 714,072,631,026
  4. Step 4: Simplify right side
    329,653,556,420x = 509,899,722,380,393,909,846,016
  5. Step 5: Solve for x
    x = 509,899,722,380,393,909,846,016/329,653,556,420
  6. Step 6: Final answer
    x = 1,546,774,522,677.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.