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Finding the Third Proportional to 21,351,786,596 and 45,916,943,650

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Solution

The third proportional to 21,351,786,596 and 45,916,943,650 is: 98,744,229,419.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,351,786,596 : 45,916,943,650 = 45,916,943,650 : x
  2. Step 2: Convert to fraction form
    21,351,786,596/45,916,943,650 = 45,916,943,650/x
  3. Step 3: Cross multiply
    21,351,786,596x = 45,916,943,650 × 45,916,943,650
  4. Step 4: Simplify right side
    21,351,786,596x = 2,108,365,714,157,275,447,296
  5. Step 5: Solve for x
    x = 2,108,365,714,157,275,447,296/21,351,786,596
  6. Step 6: Final answer
    x = 98,744,229,419.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.