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Finding the Third Proportional to 446,776,580,452 and 626,915,986,152

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Solution

The third proportional to 446,776,580,452 and 626,915,986,152 is: 879,687,232,699.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,776,580,452 : 626,915,986,152 = 626,915,986,152 : x
  2. Step 2: Convert to fraction form
    446,776,580,452/626,915,986,152 = 626,915,986,152/x
  3. Step 3: Cross multiply
    446,776,580,452x = 626,915,986,152 × 626,915,986,152
  4. Step 4: Simplify right side
    446,776,580,452x = 393,023,653,692,934,656,622,592
  5. Step 5: Solve for x
    x = 393,023,653,692,934,656,622,592/446,776,580,452
  6. Step 6: Final answer
    x = 879,687,232,699.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.