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Finding the Third Proportional to 30,083,653.13 and 65,917,243.13

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Solution

The third proportional to 30,083,653.13 and 65,917,243.13 is: 144,433,354.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,083,653.13 : 65,917,243.13 = 65,917,243.13 : x
  2. Step 2: Convert to fraction form
    30,083,653.13/65,917,243.13 = 65,917,243.13/x
  3. Step 3: Cross multiply
    30,083,653.13x = 65,917,243.13 × 65,917,243.13
  4. Step 4: Simplify right side
    30,083,653.13x = 4,345,082,941,200,360
  5. Step 5: Solve for x
    x = 4,345,082,941,200,360/30,083,653.13
  6. Step 6: Final answer
    x = 144,433,354.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.