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Finding the Third Proportional to 455,238,934.50 and 1,074,295,989.75

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Solution

The third proportional to 455,238,934.50 and 1,074,295,989.75 is: 2,535,178,312.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,238,934.50 : 1,074,295,989.75 = 1,074,295,989.75 : x
  2. Step 2: Convert to fraction form
    455,238,934.50/1,074,295,989.75 = 1,074,295,989.75/x
  3. Step 3: Cross multiply
    455,238,934.50x = 1,074,295,989.75 × 1,074,295,989.75
  4. Step 4: Simplify right side
    455,238,934.50x = 1,154,111,873,592,932,096
  5. Step 5: Solve for x
    x = 1,154,111,873,592,932,096/455,238,934.50
  6. Step 6: Final answer
    x = 2,535,178,312.15

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.