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Finding the Third Proportional to 13,564,068 and 19,010,022

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Solution

The third proportional to 13,564,068 and 19,010,022 is: 26,642,518.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564,068 : 19,010,022 = 19,010,022 : x
  2. Step 2: Convert to fraction form
    13,564,068/19,010,022 = 19,010,022/x
  3. Step 3: Cross multiply
    13,564,068x = 19,010,022 × 19,010,022
  4. Step 4: Simplify right side
    13,564,068x = 361,380,936,440,484
  5. Step 5: Solve for x
    x = 361,380,936,440,484/13,564,068
  6. Step 6: Final answer
    x = 26,642,518.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.