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Finding the Third Proportional to 1,455,345,072 and 2,239,228,296

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Solution

The third proportional to 1,455,345,072 and 2,239,228,296 is: 3,445,329,535.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455,345,072 : 2,239,228,296 = 2,239,228,296 : x
  2. Step 2: Convert to fraction form
    1,455,345,072/2,239,228,296 = 2,239,228,296/x
  3. Step 3: Cross multiply
    1,455,345,072x = 2,239,228,296 × 2,239,228,296
  4. Step 4: Simplify right side
    1,455,345,072x = 5,014,143,361,607,063,552
  5. Step 5: Solve for x
    x = 5,014,143,361,607,063,552/1,455,345,072
  6. Step 6: Final answer
    x = 3,445,329,535.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.