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Finding the Third Proportional to 4,147,942,467 and 6,064,436,932.50

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Solution

The third proportional to 4,147,942,467 and 6,064,436,932.50 is: 8,866,418,857.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147,942,467 : 6,064,436,932.50 = 6,064,436,932.50 : x
  2. Step 2: Convert to fraction form
    4,147,942,467/6,064,436,932.50 = 6,064,436,932.50/x
  3. Step 3: Cross multiply
    4,147,942,467x = 6,064,436,932.50 × 6,064,436,932.50
  4. Step 4: Simplify right side
    4,147,942,467x = 36,777,395,308,270,010,368
  5. Step 5: Solve for x
    x = 36,777,395,308,270,010,368/4,147,942,467
  6. Step 6: Final answer
    x = 8,866,418,857.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.