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Finding the Third Proportional to 1,321,862,022.28 and 1,977,552,095.11

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Solution

The third proportional to 1,321,862,022.28 and 1,977,552,095.11 is: 2,958,487,514.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321,862,022.28 : 1,977,552,095.11 = 1,977,552,095.11 : x
  2. Step 2: Convert to fraction form
    1,321,862,022.28/1,977,552,095.11 = 1,977,552,095.11/x
  3. Step 3: Cross multiply
    1,321,862,022.28x = 1,977,552,095.11 × 1,977,552,095.11
  4. Step 4: Simplify right side
    1,321,862,022.28x = 3,910,712,288,871,577,600
  5. Step 5: Solve for x
    x = 3,910,712,288,871,577,600/1,321,862,022.28
  6. Step 6: Final answer
    x = 2,958,487,514.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.