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Finding the Third Proportional to 9,700,828 and 21,123,918

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Solution

The third proportional to 9,700,828 and 21,123,918 is: 45,998,126.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700,828 : 21,123,918 = 21,123,918 : x
  2. Step 2: Convert to fraction form
    9,700,828/21,123,918 = 21,123,918/x
  3. Step 3: Cross multiply
    9,700,828x = 21,123,918 × 21,123,918
  4. Step 4: Simplify right side
    9,700,828x = 446,219,911,670,724
  5. Step 5: Solve for x
    x = 446,219,911,670,724/9,700,828
  6. Step 6: Final answer
    x = 45,998,126.31

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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.