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Finding the Third Proportional to 6,901,142.63 and 14,516,200.69

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Solution

The third proportional to 6,901,142.63 and 14,516,200.69 is: 30,534,086.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901,142.63 : 14,516,200.69 = 14,516,200.69 : x
  2. Step 2: Convert to fraction form
    6,901,142.63/14,516,200.69 = 14,516,200.69/x
  3. Step 3: Cross multiply
    6,901,142.63x = 14,516,200.69 × 14,516,200.69
  4. Step 4: Simplify right side
    6,901,142.63x = 210,720,082,399,775.47
  5. Step 5: Solve for x
    x = 210,720,082,399,775.47/6,901,142.63
  6. Step 6: Final answer
    x = 30,534,086.00

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.