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Finding the Third Proportional to 16,397,964 and 35,884,941.75

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Solution

The third proportional to 16,397,964 and 35,884,941.75 is: 78,529,812.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,397,964 : 35,884,941.75 = 35,884,941.75 : x
  2. Step 2: Convert to fraction form
    16,397,964/35,884,941.75 = 35,884,941.75/x
  3. Step 3: Cross multiply
    16,397,964x = 35,884,941.75 × 35,884,941.75
  4. Step 4: Simplify right side
    16,397,964x = 1,287,729,044,400,893
  5. Step 5: Solve for x
    x = 1,287,729,044,400,893/16,397,964
  6. Step 6: Final answer
    x = 78,529,812.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.