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Finding the Third Proportional to 9,238,525,766 and 18,966,813,844

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Solution

The third proportional to 9,238,525,766 and 18,966,813,844 is: 38,939,116,099.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238,525,766 : 18,966,813,844 = 18,966,813,844 : x
  2. Step 2: Convert to fraction form
    9,238,525,766/18,966,813,844 = 18,966,813,844/x
  3. Step 3: Cross multiply
    9,238,525,766x = 18,966,813,844 × 18,966,813,844
  4. Step 4: Simplify right side
    9,238,525,766x = 359,740,027,392,950,075,392
  5. Step 5: Solve for x
    x = 359,740,027,392,950,075,392/9,238,525,766
  6. Step 6: Final answer
    x = 38,939,116,099.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.