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Finding the Third Proportional to 341,628,585,361.86 and 734,671,098,128.25

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Solution

The third proportional to 341,628,585,361.86 and 734,671,098,128.25 is: 1,579,907,670,352.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,628,585,361.86 : 734,671,098,128.25 = 734,671,098,128.25 : x
  2. Step 2: Convert to fraction form
    341,628,585,361.86/734,671,098,128.25 = 734,671,098,128.25/x
  3. Step 3: Cross multiply
    341,628,585,361.86x = 734,671,098,128.25 × 734,671,098,128.25
  4. Step 4: Simplify right side
    341,628,585,361.86x = 539,741,622,424,968,733,130,752
  5. Step 5: Solve for x
    x = 539,741,622,424,968,733,130,752/341,628,585,361.86
  6. Step 6: Final answer
    x = 1,579,907,670,352.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.