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Finding the Third Proportional to 34,825,948,664 and 71,113,653,112

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Solution

The third proportional to 34,825,948,664 and 71,113,653,112 is: 145,212,172,329.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,825,948,664 : 71,113,653,112 = 71,113,653,112 : x
  2. Step 2: Convert to fraction form
    34,825,948,664/71,113,653,112 = 71,113,653,112/x
  3. Step 3: Cross multiply
    34,825,948,664x = 71,113,653,112 × 71,113,653,112
  4. Step 4: Simplify right side
    34,825,948,664x = 5,057,151,658,933,867,249,664
  5. Step 5: Solve for x
    x = 5,057,151,658,933,867,249,664/34,825,948,664
  6. Step 6: Final answer
    x = 145,212,172,329.47

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.