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Finding the Third Proportional to 1,596,940,417 and 3,475,082,257

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Solution

The third proportional to 1,596,940,417 and 3,475,082,257 is: 7,562,083,446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,940,417 : 3,475,082,257 = 3,475,082,257 : x
  2. Step 2: Convert to fraction form
    1,596,940,417/3,475,082,257 = 3,475,082,257/x
  3. Step 3: Cross multiply
    1,596,940,417x = 3,475,082,257 × 3,475,082,257
  4. Step 4: Simplify right side
    1,596,940,417x = 12,076,196,692,916,213,760
  5. Step 5: Solve for x
    x = 12,076,196,692,916,213,760/1,596,940,417
  6. Step 6: Final answer
    x = 7,562,083,446.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.