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Finding the Third Proportional to 5,675,400,300 and 13,260,296,004

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Solution

The third proportional to 5,675,400,300 and 13,260,296,004 is: 30,982,034,890.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675,400,300 : 13,260,296,004 = 13,260,296,004 : x
  2. Step 2: Convert to fraction form
    5,675,400,300/13,260,296,004 = 13,260,296,004/x
  3. Step 3: Cross multiply
    5,675,400,300x = 13,260,296,004 × 13,260,296,004
  4. Step 4: Simplify right side
    5,675,400,300x = 175,835,450,113,698,365,440
  5. Step 5: Solve for x
    x = 175,835,450,113,698,365,440/5,675,400,300
  6. Step 6: Final answer
    x = 30,982,034,890.77

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.