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Finding the Third Proportional to 10,504,272,264 and 22,751,674,896

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Solution

The third proportional to 10,504,272,264 and 22,751,674,896 is: 49,278,874,115.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504,272,264 : 22,751,674,896 = 22,751,674,896 : x
  2. Step 2: Convert to fraction form
    10,504,272,264/22,751,674,896 = 22,751,674,896/x
  3. Step 3: Cross multiply
    10,504,272,264x = 22,751,674,896 × 22,751,674,896
  4. Step 4: Simplify right side
    10,504,272,264x = 517,638,710,573,276,594,176
  5. Step 5: Solve for x
    x = 517,638,710,573,276,594,176/10,504,272,264
  6. Step 6: Final answer
    x = 49,278,874,115.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.