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Finding the Third Proportional to 12,308,715 and 26,784,747

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Solution

The third proportional to 12,308,715 and 26,784,747 is: 58,285,748.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,308,715 : 26,784,747 = 26,784,747 : x
  2. Step 2: Convert to fraction form
    12,308,715/26,784,747 = 26,784,747/x
  3. Step 3: Cross multiply
    12,308,715x = 26,784,747 × 26,784,747
  4. Step 4: Simplify right side
    12,308,715x = 717,422,671,854,009
  5. Step 5: Solve for x
    x = 717,422,671,854,009/12,308,715
  6. Step 6: Final answer
    x = 58,285,748.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.