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Finding the Third Proportional to 219,315,960 and 476,446,284

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Solution

The third proportional to 219,315,960 and 476,446,284 is: 1,035,041,232.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,315,960 : 476,446,284 = 476,446,284 : x
  2. Step 2: Convert to fraction form
    219,315,960/476,446,284 = 476,446,284/x
  3. Step 3: Cross multiply
    219,315,960x = 476,446,284 × 476,446,284
  4. Step 4: Simplify right side
    219,315,960x = 227,001,061,537,408,640
  5. Step 5: Solve for x
    x = 227,001,061,537,408,640/219,315,960
  6. Step 6: Final answer
    x = 1,035,041,232.46

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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.