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Finding the Third Proportional to 7,729,613 and 16,791,106

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Solution

The third proportional to 7,729,613 and 16,791,106 is: 36,475,466.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729,613 : 16,791,106 = 16,791,106 : x
  2. Step 2: Convert to fraction form
    7,729,613/16,791,106 = 16,791,106/x
  3. Step 3: Cross multiply
    7,729,613x = 16,791,106 × 16,791,106
  4. Step 4: Simplify right side
    7,729,613x = 281,941,240,703,236
  5. Step 5: Solve for x
    x = 281,941,240,703,236/7,729,613
  6. Step 6: Final answer
    x = 36,475,466.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.