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Finding the Third Proportional to 224,588,561,316.75 and 499,391,919,838.12

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Solution

The third proportional to 224,588,561,316.75 and 499,391,919,838.12 is: 1,110,440,746,124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,588,561,316.75 : 499,391,919,838.12 = 499,391,919,838.12 : x
  2. Step 2: Convert to fraction form
    224,588,561,316.75/499,391,919,838.12 = 499,391,919,838.12/x
  3. Step 3: Cross multiply
    224,588,561,316.75x = 499,391,919,838.12 × 499,391,919,838.12
  4. Step 4: Simplify right side
    224,588,561,316.75x = 249,392,289,599,603,257,376,768
  5. Step 5: Solve for x
    x = 249,392,289,599,603,257,376,768/224,588,561,316.75
  6. Step 6: Final answer
    x = 1,110,440,746,124.51

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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.