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Finding the Third Proportional to 946,335,076 and 2,059,308,032

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Solution

The third proportional to 946,335,076 and 2,059,308,032 is: 4,481,234,689.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,335,076 : 2,059,308,032 = 2,059,308,032 : x
  2. Step 2: Convert to fraction form
    946,335,076/2,059,308,032 = 2,059,308,032/x
  3. Step 3: Cross multiply
    946,335,076x = 2,059,308,032 × 2,059,308,032
  4. Step 4: Simplify right side
    946,335,076x = 4,240,749,570,659,713,024
  5. Step 5: Solve for x
    x = 4,240,749,570,659,713,024/946,335,076
  6. Step 6: Final answer
    x = 4,481,234,689.71

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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.