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Finding the Third Proportional to 7,849,157,832 and 12,064,723,172

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Solution

The third proportional to 7,849,157,832 and 12,064,723,172 is: 18,544,351,933.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849,157,832 : 12,064,723,172 = 12,064,723,172 : x
  2. Step 2: Convert to fraction form
    7,849,157,832/12,064,723,172 = 12,064,723,172/x
  3. Step 3: Cross multiply
    7,849,157,832x = 12,064,723,172 × 12,064,723,172
  4. Step 4: Simplify right side
    7,849,157,832x = 145,557,545,216,993,738,752
  5. Step 5: Solve for x
    x = 145,557,545,216,993,738,752/7,849,157,832
  6. Step 6: Final answer
    x = 18,544,351,933.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.