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Finding the Third Proportional to 324,142,908.75 and 709,760,929.50

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Solution

The third proportional to 324,142,908.75 and 709,760,929.50 is: 1,554,131,105.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,142,908.75 : 709,760,929.50 = 709,760,929.50 : x
  2. Step 2: Convert to fraction form
    324,142,908.75/709,760,929.50 = 709,760,929.50/x
  3. Step 3: Cross multiply
    324,142,908.75x = 709,760,929.50 × 709,760,929.50
  4. Step 4: Simplify right side
    324,142,908.75x = 503,760,577,044,704,000
  5. Step 5: Solve for x
    x = 503,760,577,044,704,000/324,142,908.75
  6. Step 6: Final answer
    x = 1,554,131,105.28

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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.