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Finding the Third Proportional to 4,655,714.63 and 7,266,459.38

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Solution

The third proportional to 4,655,714.63 and 7,266,459.38 is: 11,341,208.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655,714.63 : 7,266,459.38 = 7,266,459.38 : x
  2. Step 2: Convert to fraction form
    4,655,714.63/7,266,459.38 = 7,266,459.38/x
  3. Step 3: Cross multiply
    4,655,714.63x = 7,266,459.38 × 7,266,459.38
  4. Step 4: Simplify right side
    4,655,714.63x = 52,801,431,848,525.39
  5. Step 5: Solve for x
    x = 52,801,431,848,525.39/4,655,714.63
  6. Step 6: Final answer
    x = 11,341,208.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.