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Finding the Third Proportional to 7,566,165 and 10,616,841

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Solution

The third proportional to 7,566,165 and 10,616,841 is: 14,897,548.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566,165 : 10,616,841 = 10,616,841 : x
  2. Step 2: Convert to fraction form
    7,566,165/10,616,841 = 10,616,841/x
  3. Step 3: Cross multiply
    7,566,165x = 10,616,841 × 10,616,841
  4. Step 4: Simplify right side
    7,566,165x = 112,717,312,819,281
  5. Step 5: Solve for x
    x = 112,717,312,819,281/7,566,165
  6. Step 6: Final answer
    x = 14,897,548.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.