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Finding the Third Proportional to 1,277,796,343.50 and 1,911,586,548.94

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Solution

The third proportional to 1,277,796,343.50 and 1,911,586,548.94 is: 2,859,738,292.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,796,343.50 : 1,911,586,548.94 = 1,911,586,548.94 : x
  2. Step 2: Convert to fraction form
    1,277,796,343.50/1,911,586,548.94 = 1,911,586,548.94/x
  3. Step 3: Cross multiply
    1,277,796,343.50x = 1,911,586,548.94 × 1,911,586,548.94
  4. Step 4: Simplify right side
    1,277,796,343.50x = 3,654,163,134,078,780,928
  5. Step 5: Solve for x
    x = 3,654,163,134,078,780,928/1,277,796,343.50
  6. Step 6: Final answer
    x = 2,859,738,292.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.