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Finding the Third Proportional to 614,792,226 and 1,317,449,365

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Solution

The third proportional to 614,792,226 and 1,317,449,365 is: 2,823,186,039.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,792,226 : 1,317,449,365 = 1,317,449,365 : x
  2. Step 2: Convert to fraction form
    614,792,226/1,317,449,365 = 1,317,449,365/x
  3. Step 3: Cross multiply
    614,792,226x = 1,317,449,365 × 1,317,449,365
  4. Step 4: Simplify right side
    614,792,226x = 1,735,672,829,338,903,296
  5. Step 5: Solve for x
    x = 1,735,672,829,338,903,296/614,792,226
  6. Step 6: Final answer
    x = 2,823,186,039.02

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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.