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Finding the Third Proportional to 7,684,753 and 16,509,179

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Solution

The third proportional to 7,684,753 and 16,509,179 is: 35,466,721.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684,753 : 16,509,179 = 16,509,179 : x
  2. Step 2: Convert to fraction form
    7,684,753/16,509,179 = 16,509,179/x
  3. Step 3: Cross multiply
    7,684,753x = 16,509,179 × 16,509,179
  4. Step 4: Simplify right side
    7,684,753x = 272,552,991,254,041
  5. Step 5: Solve for x
    x = 272,552,991,254,041/7,684,753
  6. Step 6: Final answer
    x = 35,466,721.08

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.