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Finding the Third Proportional to 7,583,843 and 10,730,905

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Solution

The third proportional to 7,583,843 and 10,730,905 is: 15,183,901.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583,843 : 10,730,905 = 10,730,905 : x
  2. Step 2: Convert to fraction form
    7,583,843/10,730,905 = 10,730,905/x
  3. Step 3: Cross multiply
    7,583,843x = 10,730,905 × 10,730,905
  4. Step 4: Simplify right side
    7,583,843x = 115,152,322,119,025
  5. Step 5: Solve for x
    x = 115,152,322,119,025/7,583,843
  6. Step 6: Final answer
    x = 15,183,901.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.