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Finding the Third Proportional to 10,222,511,364 and 15,703,029,190

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Solution

The third proportional to 10,222,511,364 and 15,703,029,190 is: 24,121,775,653.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222,511,364 : 15,703,029,190 = 15,703,029,190 : x
  2. Step 2: Convert to fraction form
    10,222,511,364/15,703,029,190 = 15,703,029,190/x
  3. Step 3: Cross multiply
    10,222,511,364x = 15,703,029,190 × 15,703,029,190
  4. Step 4: Simplify right side
    10,222,511,364x = 246,585,125,741,992,050,688
  5. Step 5: Solve for x
    x = 246,585,125,741,992,050,688/10,222,511,364
  6. Step 6: Final answer
    x = 24,121,775,653.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.