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Finding the Third Proportional to 2,143,483,058 and 4,597,106,692

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Solution

The third proportional to 2,143,483,058 and 4,597,106,692 is: 9,859,368,777.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143,483,058 : 4,597,106,692 = 4,597,106,692 : x
  2. Step 2: Convert to fraction form
    2,143,483,058/4,597,106,692 = 4,597,106,692/x
  3. Step 3: Cross multiply
    2,143,483,058x = 4,597,106,692 × 4,597,106,692
  4. Step 4: Simplify right side
    2,143,483,058x = 21,133,389,937,631,182,848
  5. Step 5: Solve for x
    x = 21,133,389,937,631,182,848/2,143,483,058
  6. Step 6: Final answer
    x = 9,859,368,777.73

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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.