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Finding the Third Proportional to 929,740,959.70 and 1,421,651,699.77

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Solution

The third proportional to 929,740,959.70 and 1,421,651,699.77 is: 2,173,824,369.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,740,959.70 : 1,421,651,699.77 = 1,421,651,699.77 : x
  2. Step 2: Convert to fraction form
    929,740,959.70/1,421,651,699.77 = 1,421,651,699.77/x
  3. Step 3: Cross multiply
    929,740,959.70x = 1,421,651,699.77 × 1,421,651,699.77
  4. Step 4: Simplify right side
    929,740,959.70x = 2,021,093,555,463,195,392
  5. Step 5: Solve for x
    x = 2,021,093,555,463,195,392/929,740,959.70
  6. Step 6: Final answer
    x = 2,173,824,369.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.