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Finding the Third Proportional to 538,156,872 and 842,362,487

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Solution

The third proportional to 538,156,872 and 842,362,487 is: 1,318,527,359.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,156,872 : 842,362,487 = 842,362,487 : x
  2. Step 2: Convert to fraction form
    538,156,872/842,362,487 = 842,362,487/x
  3. Step 3: Cross multiply
    538,156,872x = 842,362,487 × 842,362,487
  4. Step 4: Simplify right side
    538,156,872x = 709,574,559,504,825,216
  5. Step 5: Solve for x
    x = 709,574,559,504,825,216/538,156,872
  6. Step 6: Final answer
    x = 1,318,527,359.63

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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.