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Finding the Third Proportional to 1,127,201,861 and 1,811,971,097

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Solution

The third proportional to 1,127,201,861 and 1,811,971,097 is: 2,912,734,062.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127,201,861 : 1,811,971,097 = 1,811,971,097 : x
  2. Step 2: Convert to fraction form
    1,127,201,861/1,811,971,097 = 1,811,971,097/x
  3. Step 3: Cross multiply
    1,127,201,861x = 1,811,971,097 × 1,811,971,097
  4. Step 4: Simplify right side
    1,127,201,861x = 3,283,239,256,363,383,296
  5. Step 5: Solve for x
    x = 3,283,239,256,363,383,296/1,127,201,861
  6. Step 6: Final answer
    x = 2,912,734,062.96

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.