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Finding the Third Proportional to 7,724,672 and 16,776,648

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Solution

The third proportional to 7,724,672 and 16,776,648 is: 36,435,970.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724,672 : 16,776,648 = 16,776,648 : x
  2. Step 2: Convert to fraction form
    7,724,672/16,776,648 = 16,776,648/x
  3. Step 3: Cross multiply
    7,724,672x = 16,776,648 × 16,776,648
  4. Step 4: Simplify right side
    7,724,672x = 281,455,918,115,904
  5. Step 5: Solve for x
    x = 281,455,918,115,904/7,724,672
  6. Step 6: Final answer
    x = 36,435,970.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.