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Finding the Third Proportional to 281,541,312 and 588,824,032

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Solution

The third proportional to 281,541,312 and 588,824,032 is: 1,231,484,424.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,541,312 : 588,824,032 = 588,824,032 : x
  2. Step 2: Convert to fraction form
    281,541,312/588,824,032 = 588,824,032/x
  3. Step 3: Cross multiply
    281,541,312x = 588,824,032 × 588,824,032
  4. Step 4: Simplify right side
    281,541,312x = 346,713,740,660,737,024
  5. Step 5: Solve for x
    x = 346,713,740,660,737,024/281,541,312
  6. Step 6: Final answer
    x = 1,231,484,424.78

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.