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Finding the Third Proportional to 4,209,465 and 9,083,130

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Solution

The third proportional to 4,209,465 and 9,083,130 is: 19,599,462.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209,465 : 9,083,130 = 9,083,130 : x
  2. Step 2: Convert to fraction form
    4,209,465/9,083,130 = 9,083,130/x
  3. Step 3: Cross multiply
    4,209,465x = 9,083,130 × 9,083,130
  4. Step 4: Simplify right side
    4,209,465x = 82,503,250,596,900
  5. Step 5: Solve for x
    x = 82,503,250,596,900/4,209,465
  6. Step 6: Final answer
    x = 19,599,462.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.