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Finding the Third Proportional to 8,419,714.59 and 11,730,783.23

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Solution

The third proportional to 8,419,714.59 and 11,730,783.23 is: 16,343,935.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419,714.59 : 11,730,783.23 = 11,730,783.23 : x
  2. Step 2: Convert to fraction form
    8,419,714.59/11,730,783.23 = 11,730,783.23/x
  3. Step 3: Cross multiply
    8,419,714.59x = 11,730,783.23 × 11,730,783.23
  4. Step 4: Simplify right side
    8,419,714.59x = 137,611,275,291,893.59
  5. Step 5: Solve for x
    x = 137,611,275,291,893.59/8,419,714.59
  6. Step 6: Final answer
    x = 16,343,935.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.