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Finding the Third Proportional to 281,635,548 and 571,230,237

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Solution

The third proportional to 281,635,548 and 571,230,237 is: 1,158,603,684.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,635,548 : 571,230,237 = 571,230,237 : x
  2. Step 2: Convert to fraction form
    281,635,548/571,230,237 = 571,230,237/x
  3. Step 3: Cross multiply
    281,635,548x = 571,230,237 × 571,230,237
  4. Step 4: Simplify right side
    281,635,548x = 326,303,983,663,076,160
  5. Step 5: Solve for x
    x = 326,303,983,663,076,160/281,635,548
  6. Step 6: Final answer
    x = 1,158,603,684.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.