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Finding the Third Proportional to 9,080,709 and 19,755,741

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Solution

The third proportional to 9,080,709 and 19,755,741 is: 42,980,047.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,080,709 : 19,755,741 = 19,755,741 : x
  2. Step 2: Convert to fraction form
    9,080,709/19,755,741 = 19,755,741/x
  3. Step 3: Cross multiply
    9,080,709x = 19,755,741 × 19,755,741
  4. Step 4: Simplify right side
    9,080,709x = 390,289,302,459,081
  5. Step 5: Solve for x
    x = 390,289,302,459,081/9,080,709
  6. Step 6: Final answer
    x = 42,980,047.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.