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Finding the Third Proportional to 1,614,168,002 and 3,475,899,748

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Solution

The third proportional to 1,614,168,002 and 3,475,899,748 is: 7,484,895,651.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614,168,002 : 3,475,899,748 = 3,475,899,748 : x
  2. Step 2: Convert to fraction form
    1,614,168,002/3,475,899,748 = 3,475,899,748/x
  3. Step 3: Cross multiply
    1,614,168,002x = 3,475,899,748 × 3,475,899,748
  4. Step 4: Simplify right side
    1,614,168,002x = 12,081,879,058,146,463,744
  5. Step 5: Solve for x
    x = 12,081,879,058,146,463,744/1,614,168,002
  6. Step 6: Final answer
    x = 7,484,895,651.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.