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Finding the Third Proportional to 445,671,609.89 and 977,436,661.78

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Solution

The third proportional to 445,671,609.89 and 977,436,661.78 is: 2,143,691,468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,671,609.89 : 977,436,661.78 = 977,436,661.78 : x
  2. Step 2: Convert to fraction form
    445,671,609.89/977,436,661.78 = 977,436,661.78/x
  3. Step 3: Cross multiply
    445,671,609.89x = 977,436,661.78 × 977,436,661.78
  4. Step 4: Simplify right side
    445,671,609.89x = 955,382,427,794,054,144
  5. Step 5: Solve for x
    x = 955,382,427,794,054,144/445,671,609.89
  6. Step 6: Final answer
    x = 2,143,691,468.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.