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Finding the Third Proportional to 46,268,957,905 and 100,752,019,423

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Solution

The third proportional to 46,268,957,905 and 100,752,019,423 is: 219,390,491,539.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,268,957,905 : 100,752,019,423 = 100,752,019,423 : x
  2. Step 2: Convert to fraction form
    46,268,957,905/100,752,019,423 = 100,752,019,423/x
  3. Step 3: Cross multiply
    46,268,957,905x = 100,752,019,423 × 100,752,019,423
  4. Step 4: Simplify right side
    46,268,957,905x = 10,150,969,417,812,569,751,552
  5. Step 5: Solve for x
    x = 10,150,969,417,812,569,751,552/46,268,957,905
  6. Step 6: Final answer
    x = 219,390,491,539.81

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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.