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Finding the Third Proportional to 35,786,595,744 and 53,369,556,480

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Solution

The third proportional to 35,786,595,744 and 53,369,556,480 is: 79,591,520,223.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,786,595,744 : 53,369,556,480 = 53,369,556,480 : x
  2. Step 2: Convert to fraction form
    35,786,595,744/53,369,556,480 = 53,369,556,480/x
  3. Step 3: Cross multiply
    35,786,595,744x = 53,369,556,480 × 53,369,556,480
  4. Step 4: Simplify right side
    35,786,595,744x = 2,848,309,558,871,909,728,256
  5. Step 5: Solve for x
    x = 2,848,309,558,871,909,728,256/35,786,595,744
  6. Step 6: Final answer
    x = 79,591,520,223.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.