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Finding the Third Proportional to 768,896,360 and 1,677,514,024

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Solution

The third proportional to 768,896,360 and 1,677,514,024 is: 3,659,860,349.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,896,360 : 1,677,514,024 = 1,677,514,024 : x
  2. Step 2: Convert to fraction form
    768,896,360/1,677,514,024 = 1,677,514,024/x
  3. Step 3: Cross multiply
    768,896,360x = 1,677,514,024 × 1,677,514,024
  4. Step 4: Simplify right side
    768,896,360x = 2,814,053,300,716,672,512
  5. Step 5: Solve for x
    x = 2,814,053,300,716,672,512/768,896,360
  6. Step 6: Final answer
    x = 3,659,860,349.34

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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.