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Finding the Third Proportional to 35,782,354.13 and 77,899,900.50

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Solution

The third proportional to 35,782,354.13 and 77,899,900.50 is: 169,591,818.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,782,354.13 : 77,899,900.50 = 77,899,900.50 : x
  2. Step 2: Convert to fraction form
    35,782,354.13/77,899,900.50 = 77,899,900.50/x
  3. Step 3: Cross multiply
    35,782,354.13x = 77,899,900.50 × 77,899,900.50
  4. Step 4: Simplify right side
    35,782,354.13x = 6,068,394,497,909,900
  5. Step 5: Solve for x
    x = 6,068,394,497,909,900/35,782,354.13
  6. Step 6: Final answer
    x = 169,591,818.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.