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Finding the Third Proportional to 10,181,908,212 and 21,919,928,950

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Solution

The third proportional to 10,181,908,212 and 21,919,928,950 is: 47,189,905,385.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181,908,212 : 21,919,928,950 = 21,919,928,950 : x
  2. Step 2: Convert to fraction form
    10,181,908,212/21,919,928,950 = 21,919,928,950/x
  3. Step 3: Cross multiply
    10,181,908,212x = 21,919,928,950 × 21,919,928,950
  4. Step 4: Simplify right side
    10,181,908,212x = 480,483,285,173,048,115,200
  5. Step 5: Solve for x
    x = 480,483,285,173,048,115,200/10,181,908,212
  6. Step 6: Final answer
    x = 47,189,905,385.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.