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Finding the Third Proportional to 870,713,683 and 1,894,474,173

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Solution

The third proportional to 870,713,683 and 1,894,474,173 is: 4,121,943,254.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,713,683 : 1,894,474,173 = 1,894,474,173 : x
  2. Step 2: Convert to fraction form
    870,713,683/1,894,474,173 = 1,894,474,173/x
  3. Step 3: Cross multiply
    870,713,683x = 1,894,474,173 × 1,894,474,173
  4. Step 4: Simplify right side
    870,713,683x = 3,589,032,392,164,034,048
  5. Step 5: Solve for x
    x = 3,589,032,392,164,034,048/870,713,683
  6. Step 6: Final answer
    x = 4,121,943,254.41

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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.