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Finding the Third Proportional to 566,306,208 and 1,334,941,185

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Solution

The third proportional to 566,306,208 and 1,334,941,185 is: 3,146,827,532.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,306,208 : 1,334,941,185 = 1,334,941,185 : x
  2. Step 2: Convert to fraction form
    566,306,208/1,334,941,185 = 1,334,941,185/x
  3. Step 3: Cross multiply
    566,306,208x = 1,334,941,185 × 1,334,941,185
  4. Step 4: Simplify right side
    566,306,208x = 1,782,067,967,409,204,224
  5. Step 5: Solve for x
    x = 1,782,067,967,409,204,224/566,306,208
  6. Step 6: Final answer
    x = 3,146,827,532.94

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Why These Related Problems?

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