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Finding the Third Proportional to 307,709,353,665 and 668,389,140,394

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Solution

The third proportional to 307,709,353,665 and 668,389,140,394 is: 1,451,837,708,784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,709,353,665 : 668,389,140,394 = 668,389,140,394 : x
  2. Step 2: Convert to fraction form
    307,709,353,665/668,389,140,394 = 668,389,140,394/x
  3. Step 3: Cross multiply
    307,709,353,665x = 668,389,140,394 × 668,389,140,394
  4. Step 4: Simplify right side
    307,709,353,665x = 446,744,042,996,630,217,031,680
  5. Step 5: Solve for x
    x = 446,744,042,996,630,217,031,680/307,709,353,665
  6. Step 6: Final answer
    x = 1,451,837,708,784.75

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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.