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Finding the Third Proportional to 8,470,548 and 12,784,806

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Solution

The third proportional to 8,470,548 and 12,784,806 is: 19,296,421.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470,548 : 12,784,806 = 12,784,806 : x
  2. Step 2: Convert to fraction form
    8,470,548/12,784,806 = 12,784,806/x
  3. Step 3: Cross multiply
    8,470,548x = 12,784,806 × 12,784,806
  4. Step 4: Simplify right side
    8,470,548x = 163,451,264,457,636
  5. Step 5: Solve for x
    x = 163,451,264,457,636/8,470,548
  6. Step 6: Final answer
    x = 19,296,421.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.