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Finding the Third Proportional to 829,563,932 and 1,777,453,681

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Solution

The third proportional to 829,563,932 and 1,777,453,681 is: 3,808,436,536.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,563,932 : 1,777,453,681 = 1,777,453,681 : x
  2. Step 2: Convert to fraction form
    829,563,932/1,777,453,681 = 1,777,453,681/x
  3. Step 3: Cross multiply
    829,563,932x = 1,777,453,681 × 1,777,453,681
  4. Step 4: Simplify right side
    829,563,932x = 3,159,341,588,100,449,792
  5. Step 5: Solve for x
    x = 3,159,341,588,100,449,792/829,563,932
  6. Step 6: Final answer
    x = 3,808,436,536.63

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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.