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Finding the Third Proportional to 1,783,906,668 and 2,674,622,014

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Solution

The third proportional to 1,783,906,668 and 2,674,622,014 is: 4,010,076,898.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783,906,668 : 2,674,622,014 = 2,674,622,014 : x
  2. Step 2: Convert to fraction form
    1,783,906,668/2,674,622,014 = 2,674,622,014/x
  3. Step 3: Cross multiply
    1,783,906,668x = 2,674,622,014 × 2,674,622,014
  4. Step 4: Simplify right side
    1,783,906,668x = 7,153,602,917,773,416,448
  5. Step 5: Solve for x
    x = 7,153,602,917,773,416,448/1,783,906,668
  6. Step 6: Final answer
    x = 4,010,076,898.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.