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Finding the Third Proportional to 779,176,678 and 1,714,187,145

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Solution

The third proportional to 779,176,678 and 1,714,187,145 is: 3,771,208,316.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,176,678 : 1,714,187,145 = 1,714,187,145 : x
  2. Step 2: Convert to fraction form
    779,176,678/1,714,187,145 = 1,714,187,145/x
  3. Step 3: Cross multiply
    779,176,678x = 1,714,187,145 × 1,714,187,145
  4. Step 4: Simplify right side
    779,176,678x = 2,938,437,568,083,251,200
  5. Step 5: Solve for x
    x = 2,938,437,568,083,251,200/779,176,678
  6. Step 6: Final answer
    x = 3,771,208,316.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.