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Finding the Third Proportional to 2,906,946,640 and 6,376,684,432

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Solution

The third proportional to 2,906,946,640 and 6,376,684,432 is: 13,987,908,751.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906,946,640 : 6,376,684,432 = 6,376,684,432 : x
  2. Step 2: Convert to fraction form
    2,906,946,640/6,376,684,432 = 6,376,684,432/x
  3. Step 3: Cross multiply
    2,906,946,640x = 6,376,684,432 × 6,376,684,432
  4. Step 4: Simplify right side
    2,906,946,640x = 40,662,104,345,311,166,464
  5. Step 5: Solve for x
    x = 40,662,104,345,311,166,464/2,906,946,640
  6. Step 6: Final answer
    x = 13,987,908,751.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.