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Finding the Third Proportional to 1,713,665,092.50 and 3,731,556,240

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Solution

The third proportional to 1,713,665,092.50 and 3,731,556,240 is: 8,125,573,680.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713,665,092.50 : 3,731,556,240 = 3,731,556,240 : x
  2. Step 2: Convert to fraction form
    1,713,665,092.50/3,731,556,240 = 3,731,556,240/x
  3. Step 3: Cross multiply
    1,713,665,092.50x = 3,731,556,240 × 3,731,556,240
  4. Step 4: Simplify right side
    1,713,665,092.50x = 13,924,511,972,282,937,344
  5. Step 5: Solve for x
    x = 13,924,511,972,282,937,344/1,713,665,092.50
  6. Step 6: Final answer
    x = 8,125,573,680.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.