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Finding the Third Proportional to 2,347,901,424 and 5,117,674,737

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Solution

The third proportional to 2,347,901,424 and 5,117,674,737 is: 11,154,895,365.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347,901,424 : 5,117,674,737 = 5,117,674,737 : x
  2. Step 2: Convert to fraction form
    2,347,901,424/5,117,674,737 = 5,117,674,737/x
  3. Step 3: Cross multiply
    2,347,901,424x = 5,117,674,737 × 5,117,674,737
  4. Step 4: Simplify right side
    2,347,901,424x = 26,190,594,713,728,020,480
  5. Step 5: Solve for x
    x = 26,190,594,713,728,020,480/2,347,901,424
  6. Step 6: Final answer
    x = 11,154,895,365.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.