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Finding the Third Proportional to 919,441,314 and 1,427,608,093.50

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Solution

The third proportional to 919,441,314 and 1,427,608,093.50 is: 2,216,633,990.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,441,314 : 1,427,608,093.50 = 1,427,608,093.50 : x
  2. Step 2: Convert to fraction form
    919,441,314/1,427,608,093.50 = 1,427,608,093.50/x
  3. Step 3: Cross multiply
    919,441,314x = 1,427,608,093.50 × 1,427,608,093.50
  4. Step 4: Simplify right side
    919,441,314x = 2,038,064,868,626,704,640
  5. Step 5: Solve for x
    x = 2,038,064,868,626,704,640/919,441,314
  6. Step 6: Final answer
    x = 2,216,633,990.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.