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Finding the Third Proportional to 10,524,600,702 and 23,402,332,485

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Solution

The third proportional to 10,524,600,702 and 23,402,332,485 is: 52,037,049,313.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524,600,702 : 23,402,332,485 = 23,402,332,485 : x
  2. Step 2: Convert to fraction form
    10,524,600,702/23,402,332,485 = 23,402,332,485/x
  3. Step 3: Cross multiply
    10,524,600,702x = 23,402,332,485 × 23,402,332,485
  4. Step 4: Simplify right side
    10,524,600,702x = 547,669,165,738,486,267,904
  5. Step 5: Solve for x
    x = 547,669,165,738,486,267,904/10,524,600,702
  6. Step 6: Final answer
    x = 52,037,049,313.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.