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Finding the Third Proportional to 34,335,764 and 51,507,742

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Solution

The third proportional to 34,335,764 and 51,507,742 is: 77,267,757.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,335,764 : 51,507,742 = 51,507,742 : x
  2. Step 2: Convert to fraction form
    34,335,764/51,507,742 = 51,507,742/x
  3. Step 3: Cross multiply
    34,335,764x = 51,507,742 × 51,507,742
  4. Step 4: Simplify right side
    34,335,764x = 2,653,047,485,938,564
  5. Step 5: Solve for x
    x = 2,653,047,485,938,564/34,335,764
  6. Step 6: Final answer
    x = 77,267,757.49

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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.