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Finding the Third Proportional to 4,562,347,830,774 and 9,668,634,028,104

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Solution

The third proportional to 4,562,347,830,774 and 9,668,634,028,104 is: 20,489,994,940,511.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562,347,830,774 : 9,668,634,028,104 = 9,668,634,028,104 : x
  2. Step 2: Convert to fraction form
    4,562,347,830,774/9,668,634,028,104 = 9,668,634,028,104/x
  3. Step 3: Cross multiply
    4,562,347,830,774x = 9,668,634,028,104 × 9,668,634,028,104
  4. Step 4: Simplify right side
    4,562,347,830,774x = 93,482,483,969,410,585,262,555,136
  5. Step 5: Solve for x
    x = 93,482,483,969,410,585,262,555,136/4,562,347,830,774
  6. Step 6: Final answer
    x = 20,489,994,940,511.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.