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Finding the Third Proportional to 1,596,940,521 and 3,475,082,469

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Solution

The third proportional to 1,596,940,521 and 3,475,082,469 is: 7,562,083,876.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,940,521 : 3,475,082,469 = 3,475,082,469 : x
  2. Step 2: Convert to fraction form
    1,596,940,521/3,475,082,469 = 3,475,082,469/x
  3. Step 3: Cross multiply
    1,596,940,521x = 3,475,082,469 × 3,475,082,469
  4. Step 4: Simplify right side
    1,596,940,521x = 12,076,198,166,351,136,768
  5. Step 5: Solve for x
    x = 12,076,198,166,351,136,768/1,596,940,521
  6. Step 6: Final answer
    x = 7,562,083,876.98

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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.