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Finding the Third Proportional to 569,114,109 and 1,269,085,996.50

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Solution

The third proportional to 569,114,109 and 1,269,085,996.50 is: 2,829,975,994.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,114,109 : 1,269,085,996.50 = 1,269,085,996.50 : x
  2. Step 2: Convert to fraction form
    569,114,109/1,269,085,996.50 = 1,269,085,996.50/x
  3. Step 3: Cross multiply
    569,114,109x = 1,269,085,996.50 × 1,269,085,996.50
  4. Step 4: Simplify right side
    569,114,109x = 1,610,579,266,512,398,080
  5. Step 5: Solve for x
    x = 1,610,579,266,512,398,080/569,114,109
  6. Step 6: Final answer
    x = 2,829,975,994.34

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.