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Finding the Third Proportional to 8,657,513 and 13,457,834

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Solution

The third proportional to 8,657,513 and 13,457,834 is: 20,919,783.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657,513 : 13,457,834 = 13,457,834 : x
  2. Step 2: Convert to fraction form
    8,657,513/13,457,834 = 13,457,834/x
  3. Step 3: Cross multiply
    8,657,513x = 13,457,834 × 13,457,834
  4. Step 4: Simplify right side
    8,657,513x = 181,113,295,971,556
  5. Step 5: Solve for x
    x = 181,113,295,971,556/8,657,513
  6. Step 6: Final answer
    x = 20,919,783.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.