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Finding the Third Proportional to 355,159,958,152.65 and 729,147,980,332.68

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Solution

The third proportional to 355,159,958,152.65 and 729,147,980,332.68 is: 1,496,950,219,243.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,159,958,152.65 : 729,147,980,332.68 = 729,147,980,332.68 : x
  2. Step 2: Convert to fraction form
    355,159,958,152.65/729,147,980,332.68 = 729,147,980,332.68/x
  3. Step 3: Cross multiply
    355,159,958,152.65x = 729,147,980,332.68 × 729,147,980,332.68
  4. Step 4: Simplify right side
    355,159,958,152.65x = 531,656,777,223,226,351,681,536
  5. Step 5: Solve for x
    x = 531,656,777,223,226,351,681,536/355,159,958,152.65
  6. Step 6: Final answer
    x = 1,496,950,219,243.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.