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Finding the Third Proportional to 333,856,616 and 713,658,694

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Solution

The third proportional to 333,856,616 and 713,658,694 is: 1,525,531,342.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,856,616 : 713,658,694 = 713,658,694 : x
  2. Step 2: Convert to fraction form
    333,856,616/713,658,694 = 713,658,694/x
  3. Step 3: Cross multiply
    333,856,616x = 713,658,694 × 713,658,694
  4. Step 4: Simplify right side
    333,856,616x = 509,308,731,521,785,664
  5. Step 5: Solve for x
    x = 509,308,731,521,785,664/333,856,616
  6. Step 6: Final answer
    x = 1,525,531,342.24

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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.