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Finding the Third Proportional to 12,428,969 and 26,584,984

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Solution

The third proportional to 12,428,969 and 26,584,984 is: 56,864,038.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,428,969 : 26,584,984 = 26,584,984 : x
  2. Step 2: Convert to fraction form
    12,428,969/26,584,984 = 26,584,984/x
  3. Step 3: Cross multiply
    12,428,969x = 26,584,984 × 26,584,984
  4. Step 4: Simplify right side
    12,428,969x = 706,761,374,280,256
  5. Step 5: Solve for x
    x = 706,761,374,280,256/12,428,969
  6. Step 6: Final answer
    x = 56,864,038.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.