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Finding the Third Proportional to 350,879,417,612 and 769,024,718,630

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Solution

The third proportional to 350,879,417,612 and 769,024,718,630 is: 1,685,476,514,663.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,879,417,612 : 769,024,718,630 = 769,024,718,630 : x
  2. Step 2: Convert to fraction form
    350,879,417,612/769,024,718,630 = 769,024,718,630/x
  3. Step 3: Cross multiply
    350,879,417,612x = 769,024,718,630 × 769,024,718,630
  4. Step 4: Simplify right side
    350,879,417,612x = 591,399,017,863,950,700,118,016
  5. Step 5: Solve for x
    x = 591,399,017,863,950,700,118,016/350,879,417,612
  6. Step 6: Final answer
    x = 1,685,476,514,663.84

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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.