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Finding the Third Proportional to 4,723,784,370 and 10,148,593,546

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Solution

The third proportional to 4,723,784,370 and 10,148,593,546 is: 21,803,271,041.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723,784,370 : 10,148,593,546 = 10,148,593,546 : x
  2. Step 2: Convert to fraction form
    4,723,784,370/10,148,593,546 = 10,148,593,546/x
  3. Step 3: Cross multiply
    4,723,784,370x = 10,148,593,546 × 10,148,593,546
  4. Step 4: Simplify right side
    4,723,784,370x = 102,993,950,961,912,856,576
  5. Step 5: Solve for x
    x = 102,993,950,961,912,856,576/4,723,784,370
  6. Step 6: Final answer
    x = 21,803,271,041.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.