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Finding the Third Proportional to 802,374,050 and 1,747,193,205

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Solution

The third proportional to 802,374,050 and 1,747,193,205 is: 3,804,564,835.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,374,050 : 1,747,193,205 = 1,747,193,205 : x
  2. Step 2: Convert to fraction form
    802,374,050/1,747,193,205 = 1,747,193,205/x
  3. Step 3: Cross multiply
    802,374,050x = 1,747,193,205 × 1,747,193,205
  4. Step 4: Simplify right side
    802,374,050x = 3,052,684,095,598,172,160
  5. Step 5: Solve for x
    x = 3,052,684,095,598,172,160/802,374,050
  6. Step 6: Final answer
    x = 3,804,564,835.56

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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.