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Finding the Third Proportional to 12,551,769 and 17,675,347

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Solution

The third proportional to 12,551,769 and 17,675,347 is: 24,890,347.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,551,769 : 17,675,347 = 17,675,347 : x
  2. Step 2: Convert to fraction form
    12,551,769/17,675,347 = 17,675,347/x
  3. Step 3: Cross multiply
    12,551,769x = 17,675,347 × 17,675,347
  4. Step 4: Simplify right side
    12,551,769x = 312,417,891,570,409
  5. Step 5: Solve for x
    x = 312,417,891,570,409/12,551,769
  6. Step 6: Final answer
    x = 24,890,347.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.