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Finding the Third Proportional to 34,015,784.63 and 52,354,967.63

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Solution

The third proportional to 34,015,784.63 and 52,354,967.63 is: 80,581,490.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,015,784.63 : 52,354,967.63 = 52,354,967.63 : x
  2. Step 2: Convert to fraction form
    34,015,784.63/52,354,967.63 = 52,354,967.63/x
  3. Step 3: Cross multiply
    34,015,784.63x = 52,354,967.63 × 52,354,967.63
  4. Step 4: Simplify right side
    34,015,784.63x = 2,741,042,635,014,798
  5. Step 5: Solve for x
    x = 2,741,042,635,014,798/34,015,784.63
  6. Step 6: Final answer
    x = 80,581,490.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.