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Finding the Third Proportional to 3,564,625 and 7,697,429

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Solution

The third proportional to 3,564,625 and 7,697,429 is: 16,621,780.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564,625 : 7,697,429 = 7,697,429 : x
  2. Step 2: Convert to fraction form
    3,564,625/7,697,429 = 7,697,429/x
  3. Step 3: Cross multiply
    3,564,625x = 7,697,429 × 7,697,429
  4. Step 4: Simplify right side
    3,564,625x = 59,250,413,210,041
  5. Step 5: Solve for x
    x = 59,250,413,210,041/3,564,625
  6. Step 6: Final answer
    x = 16,621,780.19

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