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Finding the Third Proportional to 307,389,546 and 663,858,720

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Solution

The third proportional to 307,389,546 and 663,858,720 is: 1,433,713,038.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,389,546 : 663,858,720 = 663,858,720 : x
  2. Step 2: Convert to fraction form
    307,389,546/663,858,720 = 663,858,720/x
  3. Step 3: Cross multiply
    307,389,546x = 663,858,720 × 663,858,720
  4. Step 4: Simplify right side
    307,389,546x = 440,708,400,120,038,400
  5. Step 5: Solve for x
    x = 440,708,400,120,038,400/307,389,546
  6. Step 6: Final answer
    x = 1,433,713,038.89

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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.