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Finding the Third Proportional to 224,588,561,287.50 and 499,391,919,783

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Solution

The third proportional to 224,588,561,287.50 and 499,391,919,783 is: 1,110,440,746,024.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,588,561,287.50 : 499,391,919,783 = 499,391,919,783 : x
  2. Step 2: Convert to fraction form
    224,588,561,287.50/499,391,919,783 = 499,391,919,783/x
  3. Step 3: Cross multiply
    224,588,561,287.50x = 499,391,919,783 × 499,391,919,783
  4. Step 4: Simplify right side
    224,588,561,287.50x = 249,392,289,544,550,299,467,776
  5. Step 5: Solve for x
    x = 249,392,289,544,550,299,467,776/224,588,561,287.50
  6. Step 6: Final answer
    x = 1,110,440,746,024.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.