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Finding the Third Proportional to 997,030,084 and 2,307,944,116

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Solution

The third proportional to 997,030,084 and 2,307,944,116 is: 5,342,472,737.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,030,084 : 2,307,944,116 = 2,307,944,116 : x
  2. Step 2: Convert to fraction form
    997,030,084/2,307,944,116 = 2,307,944,116/x
  3. Step 3: Cross multiply
    997,030,084x = 2,307,944,116 × 2,307,944,116
  4. Step 4: Simplify right side
    997,030,084x = 5,326,606,042,579,021,824
  5. Step 5: Solve for x
    x = 5,326,606,042,579,021,824/997,030,084
  6. Step 6: Final answer
    x = 5,342,472,737.84

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.