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Finding the Third Proportional to 2,014,279,989 and 4,334,670,084

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Solution

The third proportional to 2,014,279,989 and 4,334,670,084 is: 9,328,079,929.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014,279,989 : 4,334,670,084 = 4,334,670,084 : x
  2. Step 2: Convert to fraction form
    2,014,279,989/4,334,670,084 = 4,334,670,084/x
  3. Step 3: Cross multiply
    2,014,279,989x = 4,334,670,084 × 4,334,670,084
  4. Step 4: Simplify right side
    2,014,279,989x = 18,789,364,737,124,569,088
  5. Step 5: Solve for x
    x = 18,789,364,737,124,569,088/2,014,279,989
  6. Step 6: Final answer
    x = 9,328,079,929.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.