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Finding the Third Proportional to 7,566,221 and 10,616,911

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Solution

The third proportional to 7,566,221 and 10,616,911 is: 14,897,635.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566,221 : 10,616,911 = 10,616,911 : x
  2. Step 2: Convert to fraction form
    7,566,221/10,616,911 = 10,616,911/x
  3. Step 3: Cross multiply
    7,566,221x = 10,616,911 × 10,616,911
  4. Step 4: Simplify right side
    7,566,221x = 112,718,799,181,921
  5. Step 5: Solve for x
    x = 112,718,799,181,921/7,566,221
  6. Step 6: Final answer
    x = 14,897,635.05

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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.