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Finding the Third Proportional to 7,775,402.63 and 16,965,784.13

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Solution

The third proportional to 7,775,402.63 and 16,965,784.13 is: 37,019,025.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775,402.63 : 16,965,784.13 = 16,965,784.13 : x
  2. Step 2: Convert to fraction form
    7,775,402.63/16,965,784.13 = 16,965,784.13/x
  3. Step 3: Cross multiply
    7,775,402.63x = 16,965,784.13 × 16,965,784.13
  4. Step 4: Simplify right side
    7,775,402.63x = 287,837,830,976,102
  5. Step 5: Solve for x
    x = 287,837,830,976,102/7,775,402.63
  6. Step 6: Final answer
    x = 37,019,025.88

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