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Finding the Third Proportional to 30,475,275 and 65,083,614

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Solution

The third proportional to 30,475,275 and 65,083,614 is: 138,993,883.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,475,275 : 65,083,614 = 65,083,614 : x
  2. Step 2: Convert to fraction form
    30,475,275/65,083,614 = 65,083,614/x
  3. Step 3: Cross multiply
    30,475,275x = 65,083,614 × 65,083,614
  4. Step 4: Simplify right side
    30,475,275x = 4,235,876,811,300,996
  5. Step 5: Solve for x
    x = 4,235,876,811,300,996/30,475,275
  6. Step 6: Final answer
    x = 138,993,883.12

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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.