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Finding the Third Proportional to 654,537,144 and 1,454,363,988

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Solution

The third proportional to 654,537,144 and 1,454,363,988 is: 3,231,557,794.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,537,144 : 1,454,363,988 = 1,454,363,988 : x
  2. Step 2: Convert to fraction form
    654,537,144/1,454,363,988 = 1,454,363,988/x
  3. Step 3: Cross multiply
    654,537,144x = 1,454,363,988 × 1,454,363,988
  4. Step 4: Simplify right side
    654,537,144x = 2,115,174,609,591,264,256
  5. Step 5: Solve for x
    x = 2,115,174,609,591,264,256/654,537,144
  6. Step 6: Final answer
    x = 3,231,557,794.67

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.