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Finding the Third Proportional to 57,947,817 and 122,804,367

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Solution

The third proportional to 57,947,817 and 122,804,367 is: 260,249,882.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,947,817 : 122,804,367 = 122,804,367 : x
  2. Step 2: Convert to fraction form
    57,947,817/122,804,367 = 122,804,367/x
  3. Step 3: Cross multiply
    57,947,817x = 122,804,367 × 122,804,367
  4. Step 4: Simplify right side
    57,947,817x = 15,080,912,554,270,688
  5. Step 5: Solve for x
    x = 15,080,912,554,270,688/57,947,817
  6. Step 6: Final answer
    x = 260,249,882.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.