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Finding the Third Proportional to 14,729,188.71 and 32,007,941.02

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Solution

The third proportional to 14,729,188.71 and 32,007,941.02 is: 69,556,328.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,729,188.71 : 32,007,941.02 = 32,007,941.02 : x
  2. Step 2: Convert to fraction form
    14,729,188.71/32,007,941.02 = 32,007,941.02/x
  3. Step 3: Cross multiply
    14,729,188.71x = 32,007,941.02 × 32,007,941.02
  4. Step 4: Simplify right side
    14,729,188.71x = 1,024,508,288,059,729.12
  5. Step 5: Solve for x
    x = 1,024,508,288,059,729.12/14,729,188.71
  6. Step 6: Final answer
    x = 69,556,328.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.