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Finding the Third Proportional to 1,354,102,821 and 1,871,062,564.50

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Solution

The third proportional to 1,354,102,821 and 1,871,062,564.50 is: 2,585,383,521.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354,102,821 : 1,871,062,564.50 = 1,871,062,564.50 : x
  2. Step 2: Convert to fraction form
    1,354,102,821/1,871,062,564.50 = 1,871,062,564.50/x
  3. Step 3: Cross multiply
    1,354,102,821x = 1,871,062,564.50 × 1,871,062,564.50
  4. Step 4: Simplify right side
    1,354,102,821x = 3,500,875,120,273,316,864
  5. Step 5: Solve for x
    x = 3,500,875,120,273,316,864/1,354,102,821
  6. Step 6: Final answer
    x = 2,585,383,521.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.