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Finding the Third Proportional to 181,321,262,536 and 388,113,852,680

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Solution

The third proportional to 181,321,262,536 and 388,113,852,680 is: 830,748,476,683.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,321,262,536 : 388,113,852,680 = 388,113,852,680 : x
  2. Step 2: Convert to fraction form
    181,321,262,536/388,113,852,680 = 388,113,852,680/x
  3. Step 3: Cross multiply
    181,321,262,536x = 388,113,852,680 × 388,113,852,680
  4. Step 4: Simplify right side
    181,321,262,536x = 150,632,362,642,112,738,492,416
  5. Step 5: Solve for x
    x = 150,632,362,642,112,738,492,416/181,321,262,536
  6. Step 6: Final answer
    x = 830,748,476,683.51

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.