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Finding the Third Proportional to 889,616,691 and 1,852,865,419.50

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Solution

The third proportional to 889,616,691 and 1,852,865,419.50 is: 3,859,089,310.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    889,616,691 : 1,852,865,419.50 = 1,852,865,419.50 : x
  2. Step 2: Convert to fraction form
    889,616,691/1,852,865,419.50 = 1,852,865,419.50/x
  3. Step 3: Cross multiply
    889,616,691x = 1,852,865,419.50 × 1,852,865,419.50
  4. Step 4: Simplify right side
    889,616,691x = 3,433,110,262,778,911,232
  5. Step 5: Solve for x
    x = 3,433,110,262,778,911,232/889,616,691
  6. Step 6: Final answer
    x = 3,859,089,310.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.