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Finding the Third Proportional to 306,701,592 and 660,169,992

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Solution

The third proportional to 306,701,592 and 660,169,992 is: 1,421,004,747.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,701,592 : 660,169,992 = 660,169,992 : x
  2. Step 2: Convert to fraction form
    306,701,592/660,169,992 = 660,169,992/x
  3. Step 3: Cross multiply
    306,701,592x = 660,169,992 × 660,169,992
  4. Step 4: Simplify right side
    306,701,592x = 435,824,418,337,280,064
  5. Step 5: Solve for x
    x = 435,824,418,337,280,064/306,701,592
  6. Step 6: Final answer
    x = 1,421,004,747.63

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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.