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Finding the Third Proportional to 30,671,507.25 and 65,652,495.75

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Solution

The third proportional to 30,671,507.25 and 65,652,495.75 is: 140,529,455.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,671,507.25 : 65,652,495.75 = 65,652,495.75 : x
  2. Step 2: Convert to fraction form
    30,671,507.25/65,652,495.75 = 65,652,495.75/x
  3. Step 3: Cross multiply
    30,671,507.25x = 65,652,495.75 × 65,652,495.75
  4. Step 4: Simplify right side
    30,671,507.25x = 4,310,250,198,203,768
  5. Step 5: Solve for x
    x = 4,310,250,198,203,768/30,671,507.25
  6. Step 6: Final answer
    x = 140,529,455.01

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.