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Finding the Third Proportional to 839,450,292 and 1,796,823,397.50

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Solution

The third proportional to 839,450,292 and 1,796,823,397.50 is: 3,846,057,774.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,450,292 : 1,796,823,397.50 = 1,796,823,397.50 : x
  2. Step 2: Convert to fraction form
    839,450,292/1,796,823,397.50 = 1,796,823,397.50/x
  3. Step 3: Cross multiply
    839,450,292x = 1,796,823,397.50 × 1,796,823,397.50
  4. Step 4: Simplify right side
    839,450,292x = 3,228,574,321,803,443,200
  5. Step 5: Solve for x
    x = 3,228,574,321,803,443,200/839,450,292
  6. Step 6: Final answer
    x = 3,846,057,774.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.