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Finding the Third Proportional to 1,571,511,726 and 3,422,030,004

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Solution

The third proportional to 1,571,511,726 and 3,422,030,004 is: 7,451,607,999.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571,511,726 : 3,422,030,004 = 3,422,030,004 : x
  2. Step 2: Convert to fraction form
    1,571,511,726/3,422,030,004 = 3,422,030,004/x
  3. Step 3: Cross multiply
    1,571,511,726x = 3,422,030,004 × 3,422,030,004
  4. Step 4: Simplify right side
    1,571,511,726x = 11,710,289,348,276,240,384
  5. Step 5: Solve for x
    x = 11,710,289,348,276,240,384/1,571,511,726
  6. Step 6: Final answer
    x = 7,451,607,999.19

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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.