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Finding the Third Proportional to 34,141,301 and 51,213,043

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Solution

The third proportional to 34,141,301 and 51,213,043 is: 76,821,201.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,141,301 : 51,213,043 = 51,213,043 : x
  2. Step 2: Convert to fraction form
    34,141,301/51,213,043 = 51,213,043/x
  3. Step 3: Cross multiply
    34,141,301x = 51,213,043 × 51,213,043
  4. Step 4: Simplify right side
    34,141,301x = 2,622,775,773,319,849
  5. Step 5: Solve for x
    x = 2,622,775,773,319,849/34,141,301
  6. Step 6: Final answer
    x = 76,821,201.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.