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Finding the Third Proportional to 1,596,940,515 and 3,475,082,457

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Solution

The third proportional to 1,596,940,515 and 3,475,082,457 is: 7,562,083,853.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,940,515 : 3,475,082,457 = 3,475,082,457 : x
  2. Step 2: Convert to fraction form
    1,596,940,515/3,475,082,457 = 3,475,082,457/x
  3. Step 3: Cross multiply
    1,596,940,515x = 3,475,082,457 × 3,475,082,457
  4. Step 4: Simplify right side
    1,596,940,515x = 12,076,198,082,949,156,864
  5. Step 5: Solve for x
    x = 12,076,198,082,949,156,864/1,596,940,515
  6. Step 6: Final answer
    x = 7,562,083,853.17

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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.