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Finding the Third Proportional to 446,776,580,430 and 626,915,986,116

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Solution

The third proportional to 446,776,580,430 and 626,915,986,116 is: 879,687,232,642.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,776,580,430 : 626,915,986,116 = 626,915,986,116 : x
  2. Step 2: Convert to fraction form
    446,776,580,430/626,915,986,116 = 626,915,986,116/x
  3. Step 3: Cross multiply
    446,776,580,430x = 626,915,986,116 × 626,915,986,116
  4. Step 4: Simplify right side
    446,776,580,430x = 393,023,653,647,796,697,825,280
  5. Step 5: Solve for x
    x = 393,023,653,647,796,697,825,280/446,776,580,430
  6. Step 6: Final answer
    x = 879,687,232,642.17

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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.