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Finding the Third Proportional to 3,574,212,643,302 and 5,015,327,888,745

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Solution

The third proportional to 3,574,212,643,302 and 5,015,327,888,745 is: 7,037,497,860,895.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574,212,643,302 : 5,015,327,888,745 = 5,015,327,888,745 : x
  2. Step 2: Convert to fraction form
    3,574,212,643,302/5,015,327,888,745 = 5,015,327,888,745/x
  3. Step 3: Cross multiply
    3,574,212,643,302x = 5,015,327,888,745 × 5,015,327,888,745
  4. Step 4: Simplify right side
    3,574,212,643,302x = 25,153,513,831,623,379,768,049,664
  5. Step 5: Solve for x
    x = 25,153,513,831,623,379,768,049,664/3,574,212,643,302
  6. Step 6: Final answer
    x = 7,037,497,860,895.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.