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Finding the Third Proportional to 12,139,335.75 and 26,000,367

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Solution

The third proportional to 12,139,335.75 and 26,000,367 is: 55,688,309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,139,335.75 : 26,000,367 = 26,000,367 : x
  2. Step 2: Convert to fraction form
    12,139,335.75/26,000,367 = 26,000,367/x
  3. Step 3: Cross multiply
    12,139,335.75x = 26,000,367 × 26,000,367
  4. Step 4: Simplify right side
    12,139,335.75x = 676,019,084,134,689
  5. Step 5: Solve for x
    x = 676,019,084,134,689/12,139,335.75
  6. Step 6: Final answer
    x = 55,688,309.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.