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Finding the Third Proportional to 13,477,351,412 and 28,824,206,962

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Solution

The third proportional to 13,477,351,412 and 28,824,206,962 is: 61,646,749,542.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,477,351,412 : 28,824,206,962 = 28,824,206,962 : x
  2. Step 2: Convert to fraction form
    13,477,351,412/28,824,206,962 = 28,824,206,962/x
  3. Step 3: Cross multiply
    13,477,351,412x = 28,824,206,962 × 28,824,206,962
  4. Step 4: Simplify right side
    13,477,351,412x = 830,834,906,988,209,242,112
  5. Step 5: Solve for x
    x = 830,834,906,988,209,242,112/13,477,351,412
  6. Step 6: Final answer
    x = 61,646,749,542.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.