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Finding the Third Proportional to 2,143,481,076 and 4,597,102,485

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Solution

The third proportional to 2,143,481,076 and 4,597,102,485 is: 9,859,359,848.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143,481,076 : 4,597,102,485 = 4,597,102,485 : x
  2. Step 2: Convert to fraction form
    2,143,481,076/4,597,102,485 = 4,597,102,485/x
  3. Step 3: Cross multiply
    2,143,481,076x = 4,597,102,485 × 4,597,102,485
  4. Step 4: Simplify right side
    2,143,481,076x = 21,133,351,257,593,176,064
  5. Step 5: Solve for x
    x = 21,133,351,257,593,176,064/2,143,481,076
  6. Step 6: Final answer
    x = 9,859,359,848.90

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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.