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Finding the Third Proportional to 419,102,696.25 and 881,645,775.75

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Solution

The third proportional to 419,102,696.25 and 881,645,775.75 is: 1,854,674,954.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,102,696.25 : 881,645,775.75 = 881,645,775.75 : x
  2. Step 2: Convert to fraction form
    419,102,696.25/881,645,775.75 = 881,645,775.75/x
  3. Step 3: Cross multiply
    419,102,696.25x = 881,645,775.75 × 881,645,775.75
  4. Step 4: Simplify right side
    419,102,696.25x = 777,299,273,897,819,264
  5. Step 5: Solve for x
    x = 777,299,273,897,819,264/419,102,696.25
  6. Step 6: Final answer
    x = 1,854,674,954.02

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.