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Finding the Third Proportional to 6,538,889 and 14,254,830

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Solution

The third proportional to 6,538,889 and 14,254,830 is: 31,075,642.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538,889 : 14,254,830 = 14,254,830 : x
  2. Step 2: Convert to fraction form
    6,538,889/14,254,830 = 14,254,830/x
  3. Step 3: Cross multiply
    6,538,889x = 14,254,830 × 14,254,830
  4. Step 4: Simplify right side
    6,538,889x = 203,200,178,328,900
  5. Step 5: Solve for x
    x = 203,200,178,328,900/6,538,889
  6. Step 6: Final answer
    x = 31,075,642.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.