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Finding the Third Proportional to 12,845,878.50 and 18,786,483.75

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Solution

The third proportional to 12,845,878.50 and 18,786,483.75 is: 27,474,335.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,845,878.50 : 18,786,483.75 = 18,786,483.75 : x
  2. Step 2: Convert to fraction form
    12,845,878.50/18,786,483.75 = 18,786,483.75/x
  3. Step 3: Cross multiply
    12,845,878.50x = 18,786,483.75 × 18,786,483.75
  4. Step 4: Simplify right side
    12,845,878.50x = 352,931,971,689,014.06
  5. Step 5: Solve for x
    x = 352,931,971,689,014.06/12,845,878.50
  6. Step 6: Final answer
    x = 27,474,335.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.