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Finding the Third Proportional to 4,598,430 and 9,757,164

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Solution

The third proportional to 4,598,430 and 9,757,164 is: 20,703,207.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598,430 : 9,757,164 = 9,757,164 : x
  2. Step 2: Convert to fraction form
    4,598,430/9,757,164 = 9,757,164/x
  3. Step 3: Cross multiply
    4,598,430x = 9,757,164 × 9,757,164
  4. Step 4: Simplify right side
    4,598,430x = 95,202,249,322,896
  5. Step 5: Solve for x
    x = 95,202,249,322,896/4,598,430
  6. Step 6: Final answer
    x = 20,703,207.25

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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.