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Finding the Third Proportional to 12,839,843,116 and 26,040,713,384

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Solution

The third proportional to 12,839,843,116 and 26,040,713,384 is: 52,813,632,333.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,839,843,116 : 26,040,713,384 = 26,040,713,384 : x
  2. Step 2: Convert to fraction form
    12,839,843,116/26,040,713,384 = 26,040,713,384/x
  3. Step 3: Cross multiply
    12,839,843,116x = 26,040,713,384 × 26,040,713,384
  4. Step 4: Simplify right side
    12,839,843,116x = 678,118,753,547,636,703,232
  5. Step 5: Solve for x
    x = 678,118,753,547,636,703,232/12,839,843,116
  6. Step 6: Final answer
    x = 52,813,632,333.45

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.