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Finding the Third Proportional to 324,142,890.75 and 709,760,893.50

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Solution

The third proportional to 324,142,890.75 and 709,760,893.50 is: 1,554,131,033.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,142,890.75 : 709,760,893.50 = 709,760,893.50 : x
  2. Step 2: Convert to fraction form
    324,142,890.75/709,760,893.50 = 709,760,893.50/x
  3. Step 3: Cross multiply
    324,142,890.75x = 709,760,893.50 × 709,760,893.50
  4. Step 4: Simplify right side
    324,142,890.75x = 503,760,525,941,918,336
  5. Step 5: Solve for x
    x = 503,760,525,941,918,336/324,142,890.75
  6. Step 6: Final answer
    x = 1,554,131,033.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.