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Finding the Third Proportional to 8,563,314 and 14,057,970

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Solution

The third proportional to 8,563,314 and 14,057,970 is: 23,078,275.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563,314 : 14,057,970 = 14,057,970 : x
  2. Step 2: Convert to fraction form
    8,563,314/14,057,970 = 14,057,970/x
  3. Step 3: Cross multiply
    8,563,314x = 14,057,970 × 14,057,970
  4. Step 4: Simplify right side
    8,563,314x = 197,626,520,520,900
  5. Step 5: Solve for x
    x = 197,626,520,520,900/8,563,314
  6. Step 6: Final answer
    x = 23,078,275.60

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.