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Finding the Third Proportional to 13,468,371,056 and 18,942,362,786

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Solution

The third proportional to 13,468,371,056 and 18,942,362,786 is: 26,641,165,915.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,468,371,056 : 18,942,362,786 = 18,942,362,786 : x
  2. Step 2: Convert to fraction form
    13,468,371,056/18,942,362,786 = 18,942,362,786/x
  3. Step 3: Cross multiply
    13,468,371,056x = 18,942,362,786 × 18,942,362,786
  4. Step 4: Simplify right side
    13,468,371,056x = 358,813,107,916,437,651,456
  5. Step 5: Solve for x
    x = 358,813,107,916,437,651,456/13,468,371,056
  6. Step 6: Final answer
    x = 26,641,165,915.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.