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Finding the Third Proportional to 283,946,692 and 457,146,726

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Solution

The third proportional to 283,946,692 and 457,146,726 is: 735,994,237.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,946,692 : 457,146,726 = 457,146,726 : x
  2. Step 2: Convert to fraction form
    283,946,692/457,146,726 = 457,146,726/x
  3. Step 3: Cross multiply
    283,946,692x = 457,146,726 × 457,146,726
  4. Step 4: Simplify right side
    283,946,692x = 208,983,129,092,519,072
  5. Step 5: Solve for x
    x = 208,983,129,092,519,072/283,946,692
  6. Step 6: Final answer
    x = 735,994,237.58

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.