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Finding the Third Proportional to 10,596,720 and 16,786,752

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Solution

The third proportional to 10,596,720 and 16,786,752 is: 26,592,666.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596,720 : 16,786,752 = 16,786,752 : x
  2. Step 2: Convert to fraction form
    10,596,720/16,786,752 = 16,786,752/x
  3. Step 3: Cross multiply
    10,596,720x = 16,786,752 × 16,786,752
  4. Step 4: Simplify right side
    10,596,720x = 281,795,042,709,504
  5. Step 5: Solve for x
    x = 281,795,042,709,504/10,596,720
  6. Step 6: Final answer
    x = 26,592,666.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.