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Finding the Third Proportional to 75,509,150,532 and 163,586,361,689.50

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Solution

The third proportional to 75,509,150,532 and 163,586,361,689.50 is: 354,400,725,505.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,509,150,532 : 163,586,361,689.50 = 163,586,361,689.50 : x
  2. Step 2: Convert to fraction form
    75,509,150,532/163,586,361,689.50 = 163,586,361,689.50/x
  3. Step 3: Cross multiply
    75,509,150,532x = 163,586,361,689.50 × 163,586,361,689.50
  4. Step 4: Simplify right side
    75,509,150,532x = 26,760,497,730,807,912,202,240
  5. Step 5: Solve for x
    x = 26,760,497,730,807,912,202,240/75,509,150,532
  6. Step 6: Final answer
    x = 354,400,725,505.01

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.