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Finding the Third Proportional to 761,628,166.50 and 1,658,467,890

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Solution

The third proportional to 761,628,166.50 and 1,658,467,890 is: 3,611,362,949.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,628,166.50 : 1,658,467,890 = 1,658,467,890 : x
  2. Step 2: Convert to fraction form
    761,628,166.50/1,658,467,890 = 1,658,467,890/x
  3. Step 3: Cross multiply
    761,628,166.50x = 1,658,467,890 × 1,658,467,890
  4. Step 4: Simplify right side
    761,628,166.50x = 2,750,515,742,161,052,160
  5. Step 5: Solve for x
    x = 2,750,515,742,161,052,160/761,628,166.50
  6. Step 6: Final answer
    x = 3,611,362,949.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.