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Finding the Third Proportional to 1,571,511,762 and 3,422,030,076

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Solution

The third proportional to 1,571,511,762 and 3,422,030,076 is: 7,451,608,142.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571,511,762 : 3,422,030,076 = 3,422,030,076 : x
  2. Step 2: Convert to fraction form
    1,571,511,762/3,422,030,076 = 3,422,030,076/x
  3. Step 3: Cross multiply
    1,571,511,762x = 3,422,030,076 × 3,422,030,076
  4. Step 4: Simplify right side
    1,571,511,762x = 11,710,289,841,048,565,760
  5. Step 5: Solve for x
    x = 11,710,289,841,048,565,760/1,571,511,762
  6. Step 6: Final answer
    x = 7,451,608,142.05

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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.