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Finding the Third Proportional to 9,783,458,758,228 and 21,284,600,856,883

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Solution

The third proportional to 9,783,458,758,228 and 21,284,600,856,883 is: 46,306,142,319,639.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783,458,758,228 : 21,284,600,856,883 = 21,284,600,856,883 : x
  2. Step 2: Convert to fraction form
    9,783,458,758,228/21,284,600,856,883 = 21,284,600,856,883/x
  3. Step 3: Cross multiply
    9,783,458,758,228x = 21,284,600,856,883 × 21,284,600,856,883
  4. Step 4: Simplify right side
    9,783,458,758,228x = 453,034,233,636,824,521,289,760,768
  5. Step 5: Solve for x
    x = 453,034,233,636,824,521,289,760,768/9,783,458,758,228
  6. Step 6: Final answer
    x = 46,306,142,319,639.01

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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.