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Finding the Third Proportional to 2,429,774.09 and 5,249,175.89

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Solution

The third proportional to 2,429,774.09 and 5,249,175.89 is: 11,340,086.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429,774.09 : 5,249,175.89 = 5,249,175.89 : x
  2. Step 2: Convert to fraction form
    2,429,774.09/5,249,175.89 = 5,249,175.89/x
  3. Step 3: Cross multiply
    2,429,774.09x = 5,249,175.89 × 5,249,175.89
  4. Step 4: Simplify right side
    2,429,774.09x = 27,553,847,530,718.76
  5. Step 5: Solve for x
    x = 27,553,847,530,718.76/2,429,774.09
  6. Step 6: Final answer
    x = 11,340,086.18

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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.