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Finding the Third Proportional to 4,664,817 and 10,226,461.50

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Solution

The third proportional to 4,664,817 and 10,226,461.50 is: 22,418,996.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664,817 : 10,226,461.50 = 10,226,461.50 : x
  2. Step 2: Convert to fraction form
    4,664,817/10,226,461.50 = 10,226,461.50/x
  3. Step 3: Cross multiply
    4,664,817x = 10,226,461.50 × 10,226,461.50
  4. Step 4: Simplify right side
    4,664,817x = 104,580,514,810,982.25
  5. Step 5: Solve for x
    x = 104,580,514,810,982.25/4,664,817
  6. Step 6: Final answer
    x = 22,418,996.25

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.