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Finding the Third Proportional to 350,879,417,616 and 769,024,718,634

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Solution

The third proportional to 350,879,417,616 and 769,024,718,634 is: 1,685,476,514,662.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,879,417,616 : 769,024,718,634 = 769,024,718,634 : x
  2. Step 2: Convert to fraction form
    350,879,417,616/769,024,718,634 = 769,024,718,634/x
  3. Step 3: Cross multiply
    350,879,417,616x = 769,024,718,634 × 769,024,718,634
  4. Step 4: Simplify right side
    350,879,417,616x = 591,399,017,870,102,838,116,352
  5. Step 5: Solve for x
    x = 591,399,017,870,102,838,116,352/350,879,417,616
  6. Step 6: Final answer
    x = 1,685,476,514,662.16

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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.