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Finding the Third Proportional to 889,614,009 and 1,852,860,838.50

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Solution

The third proportional to 889,614,009 and 1,852,860,838.50 is: 3,859,081,862.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    889,614,009 : 1,852,860,838.50 = 1,852,860,838.50 : x
  2. Step 2: Convert to fraction form
    889,614,009/1,852,860,838.50 = 1,852,860,838.50/x
  3. Step 3: Cross multiply
    889,614,009x = 1,852,860,838.50 × 1,852,860,838.50
  4. Step 4: Simplify right side
    889,614,009x = 3,433,093,286,846,923,264
  5. Step 5: Solve for x
    x = 3,433,093,286,846,923,264/889,614,009
  6. Step 6: Final answer
    x = 3,859,081,862.60

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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.