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Finding the Third Proportional to 8,731,239 and 18,367,471.50

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Solution

The third proportional to 8,731,239 and 18,367,471.50 is: 38,638,732.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,731,239 : 18,367,471.50 = 18,367,471.50 : x
  2. Step 2: Convert to fraction form
    8,731,239/18,367,471.50 = 18,367,471.50/x
  3. Step 3: Cross multiply
    8,731,239x = 18,367,471.50 × 18,367,471.50
  4. Step 4: Simplify right side
    8,731,239x = 337,364,009,303,312.25
  5. Step 5: Solve for x
    x = 337,364,009,303,312.25/8,731,239
  6. Step 6: Final answer
    x = 38,638,732.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.