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Finding the Third Proportional to 21,351,786,624 and 45,916,943,712

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Solution

The third proportional to 21,351,786,624 and 45,916,943,712 is: 98,744,229,556.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,351,786,624 : 45,916,943,712 = 45,916,943,712 : x
  2. Step 2: Convert to fraction form
    21,351,786,624/45,916,943,712 = 45,916,943,712/x
  3. Step 3: Cross multiply
    21,351,786,624x = 45,916,943,712 × 45,916,943,712
  4. Step 4: Simplify right side
    21,351,786,624x = 2,108,365,719,850,976,280,576
  5. Step 5: Solve for x
    x = 2,108,365,719,850,976,280,576/21,351,786,624
  6. Step 6: Final answer
    x = 98,744,229,556.94

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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.