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Finding the Third Proportional to 7,583,847.75 and 10,730,913.75

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Solution

The third proportional to 7,583,847.75 and 10,730,913.75 is: 15,183,916.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583,847.75 : 10,730,913.75 = 10,730,913.75 : x
  2. Step 2: Convert to fraction form
    7,583,847.75/10,730,913.75 = 10,730,913.75/x
  3. Step 3: Cross multiply
    7,583,847.75x = 10,730,913.75 × 10,730,913.75
  4. Step 4: Simplify right side
    7,583,847.75x = 115,152,509,909,939.06
  5. Step 5: Solve for x
    x = 115,152,509,909,939.06/7,583,847.75
  6. Step 6: Final answer
    x = 15,183,916.36

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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.