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Finding the Third Proportional to 15,674,864 and 24,211,210

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Solution

The third proportional to 15,674,864 and 24,211,210 is: 37,396,349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,674,864 : 24,211,210 = 24,211,210 : x
  2. Step 2: Convert to fraction form
    15,674,864/24,211,210 = 24,211,210/x
  3. Step 3: Cross multiply
    15,674,864x = 24,211,210 × 24,211,210
  4. Step 4: Simplify right side
    15,674,864x = 586,182,689,664,100
  5. Step 5: Solve for x
    x = 586,182,689,664,100/15,674,864
  6. Step 6: Final answer
    x = 37,396,349.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.