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Finding the Third Proportional to 30,202,050 and 65,442,945

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Solution

The third proportional to 30,202,050 and 65,442,945 is: 141,804,250.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,202,050 : 65,442,945 = 65,442,945 : x
  2. Step 2: Convert to fraction form
    30,202,050/65,442,945 = 65,442,945/x
  3. Step 3: Cross multiply
    30,202,050x = 65,442,945 × 65,442,945
  4. Step 4: Simplify right side
    30,202,050x = 4,282,779,050,273,025
  5. Step 5: Solve for x
    x = 4,282,779,050,273,025/30,202,050
  6. Step 6: Final answer
    x = 141,804,250.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.