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Finding the Third Proportional to 329,653,556,553 and 714,072,631,297.50

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Solution

The third proportional to 329,653,556,553 and 714,072,631,297.50 is: 1,546,774,523,229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,653,556,553 : 714,072,631,297.50 = 714,072,631,297.50 : x
  2. Step 2: Convert to fraction form
    329,653,556,553/714,072,631,297.50 = 714,072,631,297.50/x
  3. Step 3: Cross multiply
    329,653,556,553x = 714,072,631,297.50 × 714,072,631,297.50
  4. Step 4: Simplify right side
    329,653,556,553x = 509,899,722,768,135,370,047,488
  5. Step 5: Solve for x
    x = 509,899,722,768,135,370,047,488/329,653,556,553
  6. Step 6: Final answer
    x = 1,546,774,523,229.38

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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.