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Finding the Third Proportional to 35,511,953,576 and 77,275,441,448

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Solution

The third proportional to 35,511,953,576 and 77,275,441,448 is: 168,154,473,343.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,511,953,576 : 77,275,441,448 = 77,275,441,448 : x
  2. Step 2: Convert to fraction form
    35,511,953,576/77,275,441,448 = 77,275,441,448/x
  3. Step 3: Cross multiply
    35,511,953,576x = 77,275,441,448 × 77,275,441,448
  4. Step 4: Simplify right side
    35,511,953,576x = 5,971,493,850,983,275,954,176
  5. Step 5: Solve for x
    x = 5,971,493,850,983,275,954,176/35,511,953,576
  6. Step 6: Final answer
    x = 168,154,473,343.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.