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Finding the Third Proportional to 9,299,730 and 19,705,758

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Solution

The third proportional to 9,299,730 and 19,705,758 is: 41,755,717.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299,730 : 19,705,758 = 19,705,758 : x
  2. Step 2: Convert to fraction form
    9,299,730/19,705,758 = 19,705,758/x
  3. Step 3: Cross multiply
    9,299,730x = 19,705,758 × 19,705,758
  4. Step 4: Simplify right side
    9,299,730x = 388,316,898,354,564
  5. Step 5: Solve for x
    x = 388,316,898,354,564/9,299,730
  6. Step 6: Final answer
    x = 41,755,717.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.