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Finding the Third Proportional to 112,415,110 and 260,224,774

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Solution

The third proportional to 112,415,110 and 260,224,774 is: 602,382,838.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,415,110 : 260,224,774 = 260,224,774 : x
  2. Step 2: Convert to fraction form
    112,415,110/260,224,774 = 260,224,774/x
  3. Step 3: Cross multiply
    112,415,110x = 260,224,774 × 260,224,774
  4. Step 4: Simplify right side
    112,415,110x = 67,716,933,003,351,072
  5. Step 5: Solve for x
    x = 67,716,933,003,351,072/112,415,110
  6. Step 6: Final answer
    x = 602,382,838.07

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.