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Finding the Third Proportional to 30,174,113.48 and 65,172,022.82

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Solution

The third proportional to 30,174,113.48 and 65,172,022.82 is: 140,762,795.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,174,113.48 : 65,172,022.82 = 65,172,022.82 : x
  2. Step 2: Convert to fraction form
    30,174,113.48/65,172,022.82 = 65,172,022.82/x
  3. Step 3: Cross multiply
    30,174,113.48x = 65,172,022.82 × 65,172,022.82
  4. Step 4: Simplify right side
    30,174,113.48x = 4,247,392,557,886,862.50
  5. Step 5: Solve for x
    x = 4,247,392,557,886,862.50/30,174,113.48
  6. Step 6: Final answer
    x = 140,762,795.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.