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Finding the Third Proportional to 983,185,546 and 2,106,609,083.75

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Solution

The third proportional to 983,185,546 and 2,106,609,083.75 is: 4,513,697,185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,185,546 : 2,106,609,083.75 = 2,106,609,083.75 : x
  2. Step 2: Convert to fraction form
    983,185,546/2,106,609,083.75 = 2,106,609,083.75/x
  3. Step 3: Cross multiply
    983,185,546x = 2,106,609,083.75 × 2,106,609,083.75
  4. Step 4: Simplify right side
    983,185,546x = 4,437,801,831,738,014,720
  5. Step 5: Solve for x
    x = 4,437,801,831,738,014,720/983,185,546
  6. Step 6: Final answer
    x = 4,513,697,185.43

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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.