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Finding the Third Proportional to 897,894,831,085.50 and 1,859,435,589,277.50

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Solution

The third proportional to 897,894,831,085.50 and 1,859,435,589,277.50 is: 3,850,674,478,760.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,894,831,085.50 : 1,859,435,589,277.50 = 1,859,435,589,277.50 : x
  2. Step 2: Convert to fraction form
    897,894,831,085.50/1,859,435,589,277.50 = 1,859,435,589,277.50/x
  3. Step 3: Cross multiply
    897,894,831,085.50x = 1,859,435,589,277.50 × 1,859,435,589,277.50
  4. Step 4: Simplify right side
    897,894,831,085.50x = 3,457,500,710,671,763,546,046,464
  5. Step 5: Solve for x
    x = 3,457,500,710,671,763,546,046,464/897,894,831,085.50
  6. Step 6: Final answer
    x = 3,850,674,478,760.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.