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Finding the Third Proportional to 6,059,938 and 13,260,032

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Solution

The third proportional to 6,059,938 and 13,260,032 is: 29,014,892.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059,938 : 13,260,032 = 13,260,032 : x
  2. Step 2: Convert to fraction form
    6,059,938/13,260,032 = 13,260,032/x
  3. Step 3: Cross multiply
    6,059,938x = 13,260,032 × 13,260,032
  4. Step 4: Simplify right side
    6,059,938x = 175,828,448,641,024
  5. Step 5: Solve for x
    x = 175,828,448,641,024/6,059,938
  6. Step 6: Final answer
    x = 29,014,892.34

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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.