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Finding the Third Proportional to 8,470,524 and 12,784,764

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Solution

The third proportional to 8,470,524 and 12,784,764 is: 19,296,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470,524 : 12,784,764 = 12,784,764 : x
  2. Step 2: Convert to fraction form
    8,470,524/12,784,764 = 12,784,764/x
  3. Step 3: Cross multiply
    8,470,524x = 12,784,764 × 12,784,764
  4. Step 4: Simplify right side
    8,470,524x = 163,450,190,535,696
  5. Step 5: Solve for x
    x = 163,450,190,535,696/8,470,524
  6. Step 6: Final answer
    x = 19,296,349.38

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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.