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Finding the Third Proportional to 17,912,949,356 and 38,870,739,256

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Solution

The third proportional to 17,912,949,356 and 38,870,739,256 is: 84,348,721,155.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,912,949,356 : 38,870,739,256 = 38,870,739,256 : x
  2. Step 2: Convert to fraction form
    17,912,949,356/38,870,739,256 = 38,870,739,256/x
  3. Step 3: Cross multiply
    17,912,949,356x = 38,870,739,256 × 38,870,739,256
  4. Step 4: Simplify right side
    17,912,949,356x = 1,510,934,370,307,939,500,032
  5. Step 5: Solve for x
    x = 1,510,934,370,307,939,500,032/17,912,949,356
  6. Step 6: Final answer
    x = 84,348,721,155.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.