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Finding the Third Proportional to 221,562,522 and 512,877,582

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Solution

The third proportional to 221,562,522 and 512,877,582 is: 1,187,219,804.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,562,522 : 512,877,582 = 512,877,582 : x
  2. Step 2: Convert to fraction form
    221,562,522/512,877,582 = 512,877,582/x
  3. Step 3: Cross multiply
    221,562,522x = 512,877,582 × 512,877,582
  4. Step 4: Simplify right side
    221,562,522x = 263,043,414,118,166,720
  5. Step 5: Solve for x
    x = 263,043,414,118,166,720/221,562,522
  6. Step 6: Final answer
    x = 1,187,219,804.79

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.