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Finding the Third Proportional to 21,579,601,251,159 and 46,598,616,686,703

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Solution

The third proportional to 21,579,601,251,159 and 46,598,616,686,703 is: 100,624,244,713,402.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,579,601,251,159 : 46,598,616,686,703 = 46,598,616,686,703 : x
  2. Step 2: Convert to fraction form
    21,579,601,251,159/46,598,616,686,703 = 46,598,616,686,703/x
  3. Step 3: Cross multiply
    21,579,601,251,159x = 46,598,616,686,703 × 46,598,616,686,703
  4. Step 4: Simplify right side
    21,579,601,251,159x = 2,171,431,077,114,275,406,660,239,360
  5. Step 5: Solve for x
    x = 2,171,431,077,114,275,406,660,239,360/21,579,601,251,159
  6. Step 6: Final answer
    x = 100,624,244,713,402.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.