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Finding the Third Proportional to 344,227,084,360.88 and 736,809,892,227.57

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Solution

The third proportional to 344,227,084,360.88 and 736,809,892,227.57 is: 1,577,124,061,264.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,227,084,360.88 : 736,809,892,227.57 = 736,809,892,227.57 : x
  2. Step 2: Convert to fraction form
    344,227,084,360.88/736,809,892,227.57 = 736,809,892,227.57/x
  3. Step 3: Cross multiply
    344,227,084,360.88x = 736,809,892,227.57 × 736,809,892,227.57
  4. Step 4: Simplify right side
    344,227,084,360.88x = 542,888,817,284,403,219,660,800
  5. Step 5: Solve for x
    x = 542,888,817,284,403,219,660,800/344,227,084,360.88
  6. Step 6: Final answer
    x = 1,577,124,061,264.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.