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Finding the Third Proportional to 7,681,770 and 11,893,656

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Solution

The third proportional to 7,681,770 and 11,893,656 is: 18,414,903.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681,770 : 11,893,656 = 11,893,656 : x
  2. Step 2: Convert to fraction form
    7,681,770/11,893,656 = 11,893,656/x
  3. Step 3: Cross multiply
    7,681,770x = 11,893,656 × 11,893,656
  4. Step 4: Simplify right side
    7,681,770x = 141,459,053,046,336
  5. Step 5: Solve for x
    x = 141,459,053,046,336/7,681,770
  6. Step 6: Final answer
    x = 18,414,903.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.