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Finding the Third Proportional to 8,573,487,780 and 18,460,658,346

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Solution

The third proportional to 8,573,487,780 and 18,460,658,346 is: 39,749,972,859.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,573,487,780 : 18,460,658,346 = 18,460,658,346 : x
  2. Step 2: Convert to fraction form
    8,573,487,780/18,460,658,346 = 18,460,658,346/x
  3. Step 3: Cross multiply
    8,573,487,780x = 18,460,658,346 × 18,460,658,346
  4. Step 4: Simplify right side
    8,573,487,780x = 340,795,906,567,739,473,920
  5. Step 5: Solve for x
    x = 340,795,906,567,739,473,920/8,573,487,780
  6. Step 6: Final answer
    x = 39,749,972,859.67

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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.