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Finding the Third Proportional to 509,482,048 and 1,105,464,320

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Solution

The third proportional to 509,482,048 and 1,105,464,320 is: 2,398,615,157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,482,048 : 1,105,464,320 = 1,105,464,320 : x
  2. Step 2: Convert to fraction form
    509,482,048/1,105,464,320 = 1,105,464,320/x
  3. Step 3: Cross multiply
    509,482,048x = 1,105,464,320 × 1,105,464,320
  4. Step 4: Simplify right side
    509,482,048x = 1,222,051,362,793,062,400
  5. Step 5: Solve for x
    x = 1,222,051,362,793,062,400/509,482,048
  6. Step 6: Final answer
    x = 2,398,615,157.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.