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Finding the Third Proportional to 829,563,930 and 1,777,453,677

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Solution

The third proportional to 829,563,930 and 1,777,453,677 is: 3,808,436,528.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,563,930 : 1,777,453,677 = 1,777,453,677 : x
  2. Step 2: Convert to fraction form
    829,563,930/1,777,453,677 = 1,777,453,677/x
  3. Step 3: Cross multiply
    829,563,930x = 1,777,453,677 × 1,777,453,677
  4. Step 4: Simplify right side
    829,563,930x = 3,159,341,573,880,820,224
  5. Step 5: Solve for x
    x = 3,159,341,573,880,820,224/829,563,930
  6. Step 6: Final answer
    x = 3,808,436,528.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.