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Finding the Third Proportional to 1,610,278,082 and 3,522,046,588

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Solution

The third proportional to 1,610,278,082 and 3,522,046,588 is: 7,703,521,712.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610,278,082 : 3,522,046,588 = 3,522,046,588 : x
  2. Step 2: Convert to fraction form
    1,610,278,082/3,522,046,588 = 3,522,046,588/x
  3. Step 3: Cross multiply
    1,610,278,082x = 3,522,046,588 × 3,522,046,588
  4. Step 4: Simplify right side
    1,610,278,082x = 12,404,812,168,042,442,752
  5. Step 5: Solve for x
    x = 12,404,812,168,042,442,752/1,610,278,082
  6. Step 6: Final answer
    x = 7,703,521,712.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.