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Finding the Third Proportional to 2,157,351,202,046 and 4,694,483,113,418

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Solution

The third proportional to 2,157,351,202,046 and 4,694,483,113,418 is: 10,215,384,347,836.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157,351,202,046 : 4,694,483,113,418 = 4,694,483,113,418 : x
  2. Step 2: Convert to fraction form
    2,157,351,202,046/4,694,483,113,418 = 4,694,483,113,418/x
  3. Step 3: Cross multiply
    2,157,351,202,046x = 4,694,483,113,418 × 4,694,483,113,418
  4. Step 4: Simplify right side
    2,157,351,202,046x = 22,038,171,702,166,758,382,108,672
  5. Step 5: Solve for x
    x = 22,038,171,702,166,758,382,108,672/2,157,351,202,046
  6. Step 6: Final answer
    x = 10,215,384,347,836.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.