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Finding the Third Proportional to 2,161,359,072 and 5,097,085,200

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Solution

The third proportional to 2,161,359,072 and 5,097,085,200 is: 12,020,343,066.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161,359,072 : 5,097,085,200 = 5,097,085,200 : x
  2. Step 2: Convert to fraction form
    2,161,359,072/5,097,085,200 = 5,097,085,200/x
  3. Step 3: Cross multiply
    2,161,359,072x = 5,097,085,200 × 5,097,085,200
  4. Step 4: Simplify right side
    2,161,359,072x = 25,980,277,536,059,039,744
  5. Step 5: Solve for x
    x = 25,980,277,536,059,039,744/2,161,359,072
  6. Step 6: Final answer
    x = 12,020,343,066.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.