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Finding the Third Proportional to 10,459,573.50 and 22,656,390

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Solution

The third proportional to 10,459,573.50 and 22,656,390 is: 49,075,806.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459,573.50 : 22,656,390 = 22,656,390 : x
  2. Step 2: Convert to fraction form
    10,459,573.50/22,656,390 = 22,656,390/x
  3. Step 3: Cross multiply
    10,459,573.50x = 22,656,390 × 22,656,390
  4. Step 4: Simplify right side
    10,459,573.50x = 513,312,007,832,100
  5. Step 5: Solve for x
    x = 513,312,007,832,100/10,459,573.50
  6. Step 6: Final answer
    x = 49,075,806.76

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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.