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Finding the Third Proportional to 5,884,610 and 12,670,948

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Solution

The third proportional to 5,884,610 and 12,670,948 is: 27,283,528.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884,610 : 12,670,948 = 12,670,948 : x
  2. Step 2: Convert to fraction form
    5,884,610/12,670,948 = 12,670,948/x
  3. Step 3: Cross multiply
    5,884,610x = 12,670,948 × 12,670,948
  4. Step 4: Simplify right side
    5,884,610x = 160,552,923,218,704
  5. Step 5: Solve for x
    x = 160,552,923,218,704/5,884,610
  6. Step 6: Final answer
    x = 27,283,528.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.