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Finding the Third Proportional to 6,458,460 and 10,406,241

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Solution

The third proportional to 6,458,460 and 10,406,241 is: 16,767,132.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458,460 : 10,406,241 = 10,406,241 : x
  2. Step 2: Convert to fraction form
    6,458,460/10,406,241 = 10,406,241/x
  3. Step 3: Cross multiply
    6,458,460x = 10,406,241 × 10,406,241
  4. Step 4: Simplify right side
    6,458,460x = 108,289,851,750,081
  5. Step 5: Solve for x
    x = 108,289,851,750,081/6,458,460
  6. Step 6: Final answer
    x = 16,767,132.06

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.