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Finding the Third Proportional to 224,588,561,313 and 499,391,919,835

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Solution

The third proportional to 224,588,561,313 and 499,391,919,835 is: 1,110,440,746,129.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,588,561,313 : 499,391,919,835 = 499,391,919,835 : x
  2. Step 2: Convert to fraction form
    224,588,561,313/499,391,919,835 = 499,391,919,835/x
  3. Step 3: Cross multiply
    224,588,561,313x = 499,391,919,835 × 499,391,919,835
  4. Step 4: Simplify right side
    224,588,561,313x = 249,392,289,596,487,057,276,928
  5. Step 5: Solve for x
    x = 249,392,289,596,487,057,276,928/224,588,561,313
  6. Step 6: Final answer
    x = 1,110,440,746,129.18

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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.