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Finding the Third Proportional to 12,442,836 and 25,878,934.50

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Solution

The third proportional to 12,442,836 and 25,878,934.50 is: 53,823,682.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442,836 : 25,878,934.50 = 25,878,934.50 : x
  2. Step 2: Convert to fraction form
    12,442,836/25,878,934.50 = 25,878,934.50/x
  3. Step 3: Cross multiply
    12,442,836x = 25,878,934.50 × 25,878,934.50
  4. Step 4: Simplify right side
    12,442,836x = 669,719,250,855,290.25
  5. Step 5: Solve for x
    x = 669,719,250,855,290.25/12,442,836
  6. Step 6: Final answer
    x = 53,823,682.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.