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Finding the Third Proportional to 396,145,075,234.50 and 870,113,988,388.12

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Solution

The third proportional to 396,145,075,234.50 and 870,113,988,388.12 is: 1,911,164,369,115.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,145,075,234.50 : 870,113,988,388.12 = 870,113,988,388.12 : x
  2. Step 2: Convert to fraction form
    396,145,075,234.50/870,113,988,388.12 = 870,113,988,388.12/x
  3. Step 3: Cross multiply
    396,145,075,234.50x = 870,113,988,388.12 × 870,113,988,388.12
  4. Step 4: Simplify right side
    396,145,075,234.50x = 757,098,352,788,681,416,245,248
  5. Step 5: Solve for x
    x = 757,098,352,788,681,416,245,248/396,145,075,234.50
  6. Step 6: Final answer
    x = 1,911,164,369,115.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.