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Finding the Third Proportional to 2,157,512,004 and 4,734,973,032

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Solution

The third proportional to 2,157,512,004 and 4,734,973,032 is: 10,391,585,109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157,512,004 : 4,734,973,032 = 4,734,973,032 : x
  2. Step 2: Convert to fraction form
    2,157,512,004/4,734,973,032 = 4,734,973,032/x
  3. Step 3: Cross multiply
    2,157,512,004x = 4,734,973,032 × 4,734,973,032
  4. Step 4: Simplify right side
    2,157,512,004x = 22,419,969,613,767,274,496
  5. Step 5: Solve for x
    x = 22,419,969,613,767,274,496/2,157,512,004
  6. Step 6: Final answer
    x = 10,391,585,109.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.