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Finding the Third Proportional to 1,277,796,346 and 1,911,586,552

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Solution

The third proportional to 1,277,796,346 and 1,911,586,552 is: 2,859,738,296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,796,346 : 1,911,586,552 = 1,911,586,552 : x
  2. Step 2: Convert to fraction form
    1,277,796,346/1,911,586,552 = 1,911,586,552/x
  3. Step 3: Cross multiply
    1,277,796,346x = 1,911,586,552 × 1,911,586,552
  4. Step 4: Simplify right side
    1,277,796,346x = 3,654,163,145,787,248,640
  5. Step 5: Solve for x
    x = 3,654,163,145,787,248,640/1,277,796,346
  6. Step 6: Final answer
    x = 2,859,738,296.50

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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.