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Finding the Third Proportional to 13,450,894 and 21,413,399

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Solution

The third proportional to 13,450,894 and 21,413,399 is: 34,089,455.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,450,894 : 21,413,399 = 21,413,399 : x
  2. Step 2: Convert to fraction form
    13,450,894/21,413,399 = 21,413,399/x
  3. Step 3: Cross multiply
    13,450,894x = 21,413,399 × 21,413,399
  4. Step 4: Simplify right side
    13,450,894x = 458,533,656,733,201
  5. Step 5: Solve for x
    x = 458,533,656,733,201/13,450,894
  6. Step 6: Final answer
    x = 34,089,455.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.