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Finding the Third Proportional to 883,619,638 and 1,317,766,809

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Solution

The third proportional to 883,619,638 and 1,317,766,809 is: 1,965,222,691.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,619,638 : 1,317,766,809 = 1,317,766,809 : x
  2. Step 2: Convert to fraction form
    883,619,638/1,317,766,809 = 1,317,766,809/x
  3. Step 3: Cross multiply
    883,619,638x = 1,317,766,809 × 1,317,766,809
  4. Step 4: Simplify right side
    883,619,638x = 1,736,509,362,902,042,368
  5. Step 5: Solve for x
    x = 1,736,509,362,902,042,368/883,619,638
  6. Step 6: Final answer
    x = 1,965,222,691.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.