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Finding the Third Proportional to 19,195,068 and 29,434,164

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Solution

The third proportional to 19,195,068 and 29,434,164 is: 45,135,032.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,195,068 : 29,434,164 = 29,434,164 : x
  2. Step 2: Convert to fraction form
    19,195,068/29,434,164 = 29,434,164/x
  3. Step 3: Cross multiply
    19,195,068x = 29,434,164 × 29,434,164
  4. Step 4: Simplify right side
    19,195,068x = 866,370,010,378,896
  5. Step 5: Solve for x
    x = 866,370,010,378,896/19,195,068
  6. Step 6: Final answer
    x = 45,135,032.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.