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Finding the Third Proportional to 283,258,216 and 609,563,216

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Solution

The third proportional to 283,258,216 and 609,563,216 is: 1,311,761,824.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,258,216 : 609,563,216 = 609,563,216 : x
  2. Step 2: Convert to fraction form
    283,258,216/609,563,216 = 609,563,216/x
  3. Step 3: Cross multiply
    283,258,216x = 609,563,216 × 609,563,216
  4. Step 4: Simplify right side
    283,258,216x = 371,567,314,300,262,656
  5. Step 5: Solve for x
    x = 371,567,314,300,262,656/283,258,216
  6. Step 6: Final answer
    x = 1,311,761,824.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.