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Finding the Third Proportional to 7,583,830.50 and 10,730,887.50

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Solution

The third proportional to 7,583,830.50 and 10,730,887.50 is: 15,183,876.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583,830.50 : 10,730,887.50 = 10,730,887.50 : x
  2. Step 2: Convert to fraction form
    7,583,830.50/10,730,887.50 = 10,730,887.50/x
  3. Step 3: Cross multiply
    7,583,830.50x = 10,730,887.50 × 10,730,887.50
  4. Step 4: Simplify right side
    7,583,830.50x = 115,151,946,537,656.25
  5. Step 5: Solve for x
    x = 115,151,946,537,656.25/7,583,830.50
  6. Step 6: Final answer
    x = 15,183,876.61

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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.