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Finding the Third Proportional to 34,335,756 and 51,507,730

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Solution

The third proportional to 34,335,756 and 51,507,730 is: 77,267,739.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,335,756 : 51,507,730 = 51,507,730 : x
  2. Step 2: Convert to fraction form
    34,335,756/51,507,730 = 51,507,730/x
  3. Step 3: Cross multiply
    34,335,756x = 51,507,730 × 51,507,730
  4. Step 4: Simplify right side
    34,335,756x = 2,653,046,249,752,900
  5. Step 5: Solve for x
    x = 2,653,046,249,752,900/34,335,756
  6. Step 6: Final answer
    x = 77,267,739.49

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