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Finding the Third Proportional to 19,648,222,606 and 42,739,017,104

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Solution

The third proportional to 19,648,222,606 and 42,739,017,104 is: 92,966,352,206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,648,222,606 : 42,739,017,104 = 42,739,017,104 : x
  2. Step 2: Convert to fraction form
    19,648,222,606/42,739,017,104 = 42,739,017,104/x
  3. Step 3: Cross multiply
    19,648,222,606x = 42,739,017,104 × 42,739,017,104
  4. Step 4: Simplify right side
    19,648,222,606x = 1,826,623,583,016,004,616,192
  5. Step 5: Solve for x
    x = 1,826,623,583,016,004,616,192/19,648,222,606
  6. Step 6: Final answer
    x = 92,966,352,206.24

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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.