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Finding the Third Proportional to 3,461,769 and 7,533,102

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Solution

The third proportional to 3,461,769 and 7,533,102 is: 16,392,666.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461,769 : 7,533,102 = 7,533,102 : x
  2. Step 2: Convert to fraction form
    3,461,769/7,533,102 = 7,533,102/x
  3. Step 3: Cross multiply
    3,461,769x = 7,533,102 × 7,533,102
  4. Step 4: Simplify right side
    3,461,769x = 56,747,625,742,404
  5. Step 5: Solve for x
    x = 56,747,625,742,404/3,461,769
  6. Step 6: Final answer
    x = 16,392,666.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.