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Finding the Third Proportional to 4,413,159 and 6,748,164

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Solution

The third proportional to 4,413,159 and 6,748,164 is: 10,318,621.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,413,159 : 6,748,164 = 6,748,164 : x
  2. Step 2: Convert to fraction form
    4,413,159/6,748,164 = 6,748,164/x
  3. Step 3: Cross multiply
    4,413,159x = 6,748,164 × 6,748,164
  4. Step 4: Simplify right side
    4,413,159x = 45,537,717,370,896
  5. Step 5: Solve for x
    x = 45,537,717,370,896/4,413,159
  6. Step 6: Final answer
    x = 10,318,621.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.