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Finding the Third Proportional to 496,901,916 and 1,076,616,216

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Solution

The third proportional to 496,901,916 and 1,076,616,216 is: 2,332,658,497.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,901,916 : 1,076,616,216 = 1,076,616,216 : x
  2. Step 2: Convert to fraction form
    496,901,916/1,076,616,216 = 1,076,616,216/x
  3. Step 3: Cross multiply
    496,901,916x = 1,076,616,216 × 1,076,616,216
  4. Step 4: Simplify right side
    496,901,916x = 1,159,102,476,554,158,592
  5. Step 5: Solve for x
    x = 1,159,102,476,554,158,592/496,901,916
  6. Step 6: Final answer
    x = 2,332,658,497.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.