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Finding the Third Proportional to 946,335,078 and 2,059,308,036

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Solution

The third proportional to 946,335,078 and 2,059,308,036 is: 4,481,234,697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,335,078 : 2,059,308,036 = 2,059,308,036 : x
  2. Step 2: Convert to fraction form
    946,335,078/2,059,308,036 = 2,059,308,036/x
  3. Step 3: Cross multiply
    946,335,078x = 2,059,308,036 × 2,059,308,036
  4. Step 4: Simplify right side
    946,335,078x = 4,240,749,587,134,177,280
  5. Step 5: Solve for x
    x = 4,240,749,587,134,177,280/946,335,078
  6. Step 6: Final answer
    x = 4,481,234,697.65

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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.