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Finding the Third Proportional to 779,178,411.75 and 1,714,190,607.75

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Solution

The third proportional to 779,178,411.75 and 1,714,190,607.75 is: 3,771,215,161.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,178,411.75 : 1,714,190,607.75 = 1,714,190,607.75 : x
  2. Step 2: Convert to fraction form
    779,178,411.75/1,714,190,607.75 = 1,714,190,607.75/x
  3. Step 3: Cross multiply
    779,178,411.75x = 1,714,190,607.75 × 1,714,190,607.75
  4. Step 4: Simplify right side
    779,178,411.75x = 2,938,449,439,698,314,240
  5. Step 5: Solve for x
    x = 2,938,449,439,698,314,240/779,178,411.75
  6. Step 6: Final answer
    x = 3,771,215,161.23

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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.