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Finding the Third Proportional to 6,492,013.50 and 10,131,064.50

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Solution

The third proportional to 6,492,013.50 and 10,131,064.50 is: 15,809,959.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492,013.50 : 10,131,064.50 = 10,131,064.50 : x
  2. Step 2: Convert to fraction form
    6,492,013.50/10,131,064.50 = 10,131,064.50/x
  3. Step 3: Cross multiply
    6,492,013.50x = 10,131,064.50 × 10,131,064.50
  4. Step 4: Simplify right side
    6,492,013.50x = 102,638,467,903,160.25
  5. Step 5: Solve for x
    x = 102,638,467,903,160.25/6,492,013.50
  6. Step 6: Final answer
    x = 15,809,959.10

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.