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Finding the Third Proportional to 2,923,111,453 and 6,820,828,961

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Solution

The third proportional to 2,923,111,453 and 6,820,828,961 is: 15,915,817,259.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923,111,453 : 6,820,828,961 = 6,820,828,961 : x
  2. Step 2: Convert to fraction form
    2,923,111,453/6,820,828,961 = 6,820,828,961/x
  3. Step 3: Cross multiply
    2,923,111,453x = 6,820,828,961 × 6,820,828,961
  4. Step 4: Simplify right side
    2,923,111,453x = 46,523,707,715,216,343,040
  5. Step 5: Solve for x
    x = 46,523,707,715,216,343,040/2,923,111,453
  6. Step 6: Final answer
    x = 15,915,817,259.54

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.