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Finding the Third Proportional to 312,488,320 and 660,405,968

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Solution

The third proportional to 312,488,320 and 660,405,968 is: 1,395,687,501.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,488,320 : 660,405,968 = 660,405,968 : x
  2. Step 2: Convert to fraction form
    312,488,320/660,405,968 = 660,405,968/x
  3. Step 3: Cross multiply
    312,488,320x = 660,405,968 × 660,405,968
  4. Step 4: Simplify right side
    312,488,320x = 436,136,042,570,017,024
  5. Step 5: Solve for x
    x = 436,136,042,570,017,024/312,488,320
  6. Step 6: Final answer
    x = 1,395,687,501.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.