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Finding the Third Proportional to 10,749,994,002 and 16,690,975,806

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Solution

The third proportional to 10,749,994,002 and 16,690,975,806 is: 25,915,239,888.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,749,994,002 : 16,690,975,806 = 16,690,975,806 : x
  2. Step 2: Convert to fraction form
    10,749,994,002/16,690,975,806 = 16,690,975,806/x
  3. Step 3: Cross multiply
    10,749,994,002x = 16,690,975,806 × 16,690,975,806
  4. Step 4: Simplify right side
    10,749,994,002x = 278,588,673,356,477,333,504
  5. Step 5: Solve for x
    x = 278,588,673,356,477,333,504/10,749,994,002
  6. Step 6: Final answer
    x = 25,915,239,888.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.