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Finding the Third Proportional to 21,740,217.75 and 45,996,465.09

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Solution

The third proportional to 21,740,217.75 and 45,996,465.09 is: 97,316,173.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,740,217.75 : 45,996,465.09 = 45,996,465.09 : x
  2. Step 2: Convert to fraction form
    21,740,217.75/45,996,465.09 = 45,996,465.09/x
  3. Step 3: Cross multiply
    21,740,217.75x = 45,996,465.09 × 45,996,465.09
  4. Step 4: Simplify right side
    21,740,217.75x = 2,115,674,801,120,562.25
  5. Step 5: Solve for x
    x = 2,115,674,801,120,562.25/21,740,217.75
  6. Step 6: Final answer
    x = 97,316,173.44

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.