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Finding the Third Proportional to 246,009,648 and 346,043,556

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Solution

The third proportional to 246,009,648 and 346,043,556 is: 486,753,847.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,009,648 : 346,043,556 = 346,043,556 : x
  2. Step 2: Convert to fraction form
    246,009,648/346,043,556 = 346,043,556/x
  3. Step 3: Cross multiply
    246,009,648x = 346,043,556 × 346,043,556
  4. Step 4: Simplify right side
    246,009,648x = 119,746,142,649,125,136
  5. Step 5: Solve for x
    x = 119,746,142,649,125,136/246,009,648
  6. Step 6: Final answer
    x = 486,753,847.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.