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Finding the Third Proportional to 224,588,561,290 and 499,391,919,787

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Solution

The third proportional to 224,588,561,290 and 499,391,919,787 is: 1,110,440,746,029.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,588,561,290 : 499,391,919,787 = 499,391,919,787 : x
  2. Step 2: Convert to fraction form
    224,588,561,290/499,391,919,787 = 499,391,919,787/x
  3. Step 3: Cross multiply
    224,588,561,290x = 499,391,919,787 × 499,391,919,787
  4. Step 4: Simplify right side
    224,588,561,290x = 249,392,289,548,545,457,913,856
  5. Step 5: Solve for x
    x = 249,392,289,548,545,457,913,856/224,588,561,290
  6. Step 6: Final answer
    x = 1,110,440,746,029.44

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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.