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Finding the Third Proportional to 1,306,219,960 and 2,820,234,080

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Solution

The third proportional to 1,306,219,960 and 2,820,234,080 is: 6,089,112,484.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,219,960 : 2,820,234,080 = 2,820,234,080 : x
  2. Step 2: Convert to fraction form
    1,306,219,960/2,820,234,080 = 2,820,234,080/x
  3. Step 3: Cross multiply
    1,306,219,960x = 2,820,234,080 × 2,820,234,080
  4. Step 4: Simplify right side
    1,306,219,960x = 7,953,720,265,993,446,400
  5. Step 5: Solve for x
    x = 7,953,720,265,993,446,400/1,306,219,960
  6. Step 6: Final answer
    x = 6,089,112,484.54

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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.