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Finding the Third Proportional to 10,838,829 and 14,763,148.50

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Solution

The third proportional to 10,838,829 and 14,763,148.50 is: 20,108,311.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838,829 : 14,763,148.50 = 14,763,148.50 : x
  2. Step 2: Convert to fraction form
    10,838,829/14,763,148.50 = 14,763,148.50/x
  3. Step 3: Cross multiply
    10,838,829x = 14,763,148.50 × 14,763,148.50
  4. Step 4: Simplify right side
    10,838,829x = 217,950,553,633,052.25
  5. Step 5: Solve for x
    x = 217,950,553,633,052.25/10,838,829
  6. Step 6: Final answer
    x = 20,108,311.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.