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Finding the Third Proportional to 2,108,109,024 and 4,579,117,152

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Solution

The third proportional to 2,108,109,024 and 4,579,117,152 is: 9,946,503,550.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108,109,024 : 4,579,117,152 = 4,579,117,152 : x
  2. Step 2: Convert to fraction form
    2,108,109,024/4,579,117,152 = 4,579,117,152/x
  3. Step 3: Cross multiply
    2,108,109,024x = 4,579,117,152 × 4,579,117,152
  4. Step 4: Simplify right side
    2,108,109,024x = 20,968,313,891,740,590,080
  5. Step 5: Solve for x
    x = 20,968,313,891,740,590,080/2,108,109,024
  6. Step 6: Final answer
    x = 9,946,503,550.35

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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.