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Finding the Third Proportional to 9,702,642.59 and 20,751,537.45

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Solution

The third proportional to 9,702,642.59 and 20,751,537.45 is: 44,382,373.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702,642.59 : 20,751,537.45 = 20,751,537.45 : x
  2. Step 2: Convert to fraction form
    9,702,642.59/20,751,537.45 = 20,751,537.45/x
  3. Step 3: Cross multiply
    9,702,642.59x = 20,751,537.45 × 20,751,537.45
  4. Step 4: Simplify right side
    9,702,642.59x = 430,626,306,344,186.12
  5. Step 5: Solve for x
    x = 430,626,306,344,186.12/9,702,642.59
  6. Step 6: Final answer
    x = 44,382,373.41

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Why These Related Problems?

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