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Finding the Third Proportional to 10,156,608 and 21,969,823.50

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Solution

The third proportional to 10,156,608 and 21,969,823.50 is: 47,523,065.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,156,608 : 21,969,823.50 = 21,969,823.50 : x
  2. Step 2: Convert to fraction form
    10,156,608/21,969,823.50 = 21,969,823.50/x
  3. Step 3: Cross multiply
    10,156,608x = 21,969,823.50 × 21,969,823.50
  4. Step 4: Simplify right side
    10,156,608x = 482,673,144,621,152.25
  5. Step 5: Solve for x
    x = 482,673,144,621,152.25/10,156,608
  6. Step 6: Final answer
    x = 47,523,065.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.