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Finding the Third Proportional to 1,792,118,532 and 2,811,302,634

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Solution

The third proportional to 1,792,118,532 and 2,811,302,634 is: 4,410,100,313.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792,118,532 : 2,811,302,634 = 2,811,302,634 : x
  2. Step 2: Convert to fraction form
    1,792,118,532/2,811,302,634 = 2,811,302,634/x
  3. Step 3: Cross multiply
    1,792,118,532x = 2,811,302,634 × 2,811,302,634
  4. Step 4: Simplify right side
    1,792,118,532x = 7,903,422,499,935,337,472
  5. Step 5: Solve for x
    x = 7,903,422,499,935,337,472/1,792,118,532
  6. Step 6: Final answer
    x = 4,410,100,313.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.