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Finding the Third Proportional to 2,429,742.25 and 5,249,145.25

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Solution

The third proportional to 2,429,742.25 and 5,249,145.25 is: 11,340,102.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429,742.25 : 5,249,145.25 = 5,249,145.25 : x
  2. Step 2: Convert to fraction form
    2,429,742.25/5,249,145.25 = 5,249,145.25/x
  3. Step 3: Cross multiply
    2,429,742.25x = 5,249,145.25 × 5,249,145.25
  4. Step 4: Simplify right side
    2,429,742.25x = 27,553,525,855,597.56
  5. Step 5: Solve for x
    x = 27,553,525,855,597.56/2,429,742.25
  6. Step 6: Final answer
    x = 11,340,102.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.