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Finding the Third Proportional to 1,562,390,953.50 and 2,380,214,892

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Solution

The third proportional to 1,562,390,953.50 and 2,380,214,892 is: 3,626,123,742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562,390,953.50 : 2,380,214,892 = 2,380,214,892 : x
  2. Step 2: Convert to fraction form
    1,562,390,953.50/2,380,214,892 = 2,380,214,892/x
  3. Step 3: Cross multiply
    1,562,390,953.50x = 2,380,214,892 × 2,380,214,892
  4. Step 4: Simplify right side
    1,562,390,953.50x = 5,665,422,932,098,571,264
  5. Step 5: Solve for x
    x = 5,665,422,932,098,571,264/1,562,390,953.50
  6. Step 6: Final answer
    x = 3,626,123,742.85

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.