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Finding the Third Proportional to 5,174,178 and 10,884,594

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Solution

The third proportional to 5,174,178 and 10,884,594 is: 22,897,238.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174,178 : 10,884,594 = 10,884,594 : x
  2. Step 2: Convert to fraction form
    5,174,178/10,884,594 = 10,884,594/x
  3. Step 3: Cross multiply
    5,174,178x = 10,884,594 × 10,884,594
  4. Step 4: Simplify right side
    5,174,178x = 118,474,386,544,836
  5. Step 5: Solve for x
    x = 118,474,386,544,836/5,174,178
  6. Step 6: Final answer
    x = 22,897,238.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.