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Finding the Third Proportional to 10,649,709 and 23,326,571

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Solution

The third proportional to 10,649,709 and 23,326,571 is: 51,093,312.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649,709 : 23,326,571 = 23,326,571 : x
  2. Step 2: Convert to fraction form
    10,649,709/23,326,571 = 23,326,571/x
  3. Step 3: Cross multiply
    10,649,709x = 23,326,571 × 23,326,571
  4. Step 4: Simplify right side
    10,649,709x = 544,128,914,618,041
  5. Step 5: Solve for x
    x = 544,128,914,618,041/10,649,709
  6. Step 6: Final answer
    x = 51,093,312.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.