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Finding the Third Proportional to 482,159,708 and 1,046,515,624

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Solution

The third proportional to 482,159,708 and 1,046,515,624 is: 2,271,436,067.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,159,708 : 1,046,515,624 = 1,046,515,624 : x
  2. Step 2: Convert to fraction form
    482,159,708/1,046,515,624 = 1,046,515,624/x
  3. Step 3: Cross multiply
    482,159,708x = 1,046,515,624 × 1,046,515,624
  4. Step 4: Simplify right side
    482,159,708x = 1,095,194,951,276,109,312
  5. Step 5: Solve for x
    x = 1,095,194,951,276,109,312/482,159,708
  6. Step 6: Final answer
    x = 2,271,436,067.98

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Why These Related Problems?

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