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Finding the Third Proportional to 4,598,428 and 9,757,160

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Solution

The third proportional to 4,598,428 and 9,757,160 is: 20,703,199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598,428 : 9,757,160 = 9,757,160 : x
  2. Step 2: Convert to fraction form
    4,598,428/9,757,160 = 9,757,160/x
  3. Step 3: Cross multiply
    4,598,428x = 9,757,160 × 9,757,160
  4. Step 4: Simplify right side
    4,598,428x = 95,202,171,265,600
  5. Step 5: Solve for x
    x = 95,202,171,265,600/4,598,428
  6. Step 6: Final answer
    x = 20,703,199.28

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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.