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Finding the Third Proportional to 614,792,232 and 1,317,449,375

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Solution

The third proportional to 614,792,232 and 1,317,449,375 is: 2,823,186,054.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,792,232 : 1,317,449,375 = 1,317,449,375 : x
  2. Step 2: Convert to fraction form
    614,792,232/1,317,449,375 = 1,317,449,375/x
  3. Step 3: Cross multiply
    614,792,232x = 1,317,449,375 × 1,317,449,375
  4. Step 4: Simplify right side
    614,792,232x = 1,735,672,855,687,890,688
  5. Step 5: Solve for x
    x = 1,735,672,855,687,890,688/614,792,232
  6. Step 6: Final answer
    x = 2,823,186,054.32

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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.