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Finding the Third Proportional to 585,433,685 and 1,278,146,772

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Solution

The third proportional to 585,433,685 and 1,278,146,772 is: 2,790,511,056.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,433,685 : 1,278,146,772 = 1,278,146,772 : x
  2. Step 2: Convert to fraction form
    585,433,685/1,278,146,772 = 1,278,146,772/x
  3. Step 3: Cross multiply
    585,433,685x = 1,278,146,772 × 1,278,146,772
  4. Step 4: Simplify right side
    585,433,685x = 1,633,659,170,774,020,096
  5. Step 5: Solve for x
    x = 1,633,659,170,774,020,096/585,433,685
  6. Step 6: Final answer
    x = 2,790,511,056.39

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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.