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Finding the Third Proportional to 1,617,775,881.75 and 3,485,462,724

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Solution

The third proportional to 1,617,775,881.75 and 3,485,462,724 is: 7,509,353,141.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617,775,881.75 : 3,485,462,724 = 3,485,462,724 : x
  2. Step 2: Convert to fraction form
    1,617,775,881.75/3,485,462,724 = 3,485,462,724/x
  3. Step 3: Cross multiply
    1,617,775,881.75x = 3,485,462,724 × 3,485,462,724
  4. Step 4: Simplify right side
    1,617,775,881.75x = 12,148,450,400,393,500,672
  5. Step 5: Solve for x
    x = 12,148,450,400,393,500,672/1,617,775,881.75
  6. Step 6: Final answer
    x = 7,509,353,141.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.