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Finding the Third Proportional to 6,461,344.13 and 10,003,582.69

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Solution

The third proportional to 6,461,344.13 and 10,003,582.69 is: 15,487,747.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461,344.13 : 10,003,582.69 = 10,003,582.69 : x
  2. Step 2: Convert to fraction form
    6,461,344.13/10,003,582.69 = 10,003,582.69/x
  3. Step 3: Cross multiply
    6,461,344.13x = 10,003,582.69 × 10,003,582.69
  4. Step 4: Simplify right side
    6,461,344.13x = 100,071,666,585,649.72
  5. Step 5: Solve for x
    x = 100,071,666,585,649.72/6,461,344.13
  6. Step 6: Final answer
    x = 15,487,747.54

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.