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Finding the Third Proportional to 5,470,689 and 12,663,666

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Solution

The third proportional to 5,470,689 and 12,663,666 is: 29,314,120.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470,689 : 12,663,666 = 12,663,666 : x
  2. Step 2: Convert to fraction form
    5,470,689/12,663,666 = 12,663,666/x
  3. Step 3: Cross multiply
    5,470,689x = 12,663,666 × 12,663,666
  4. Step 4: Simplify right side
    5,470,689x = 160,368,436,559,556
  5. Step 5: Solve for x
    x = 160,368,436,559,556/5,470,689
  6. Step 6: Final answer
    x = 29,314,120.50

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.