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Finding the Third Proportional to 420,926,291,384 and 993,310,713,404

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Solution

The third proportional to 420,926,291,384 and 993,310,713,404 is: 2,344,035,508,257.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,926,291,384 : 993,310,713,404 = 993,310,713,404 : x
  2. Step 2: Convert to fraction form
    420,926,291,384/993,310,713,404 = 993,310,713,404/x
  3. Step 3: Cross multiply
    420,926,291,384x = 993,310,713,404 × 993,310,713,404
  4. Step 4: Simplify right side
    420,926,291,384x = 986,666,173,363,163,366,424,576
  5. Step 5: Solve for x
    x = 986,666,173,363,163,366,424,576/420,926,291,384
  6. Step 6: Final answer
    x = 2,344,035,508,257.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.