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Finding the Third Proportional to 307,709,353,662.76 and 668,389,140,389.24

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Solution

The third proportional to 307,709,353,662.76 and 668,389,140,389.24 is: 1,451,837,708,774.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,709,353,662.76 : 668,389,140,389.24 = 668,389,140,389.24 : x
  2. Step 2: Convert to fraction form
    307,709,353,662.76/668,389,140,389.24 = 668,389,140,389.24/x
  3. Step 3: Cross multiply
    307,709,353,662.76x = 668,389,140,389.24 × 668,389,140,389.24
  4. Step 4: Simplify right side
    307,709,353,662.76x = 446,744,042,990,267,155,873,792
  5. Step 5: Solve for x
    x = 446,744,042,990,267,155,873,792/307,709,353,662.76
  6. Step 6: Final answer
    x = 1,451,837,708,774.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.