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Finding the Third Proportional to 219,209,551 and 477,008,815

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Solution

The third proportional to 219,209,551 and 477,008,815 is: 1,037,990,400.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,209,551 : 477,008,815 = 477,008,815 : x
  2. Step 2: Convert to fraction form
    219,209,551/477,008,815 = 477,008,815/x
  3. Step 3: Cross multiply
    219,209,551x = 477,008,815 × 477,008,815
  4. Step 4: Simplify right side
    219,209,551x = 227,537,409,587,704,224
  5. Step 5: Solve for x
    x = 227,537,409,587,704,224/219,209,551
  6. Step 6: Final answer
    x = 1,037,990,400.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.