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Finding the Third Proportional to 10,000,278 and 14,159,577

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Solution

The third proportional to 10,000,278 and 14,159,577 is: 20,048,804.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000,278 : 14,159,577 = 14,159,577 : x
  2. Step 2: Convert to fraction form
    10,000,278/14,159,577 = 14,159,577/x
  3. Step 3: Cross multiply
    10,000,278x = 14,159,577 × 14,159,577
  4. Step 4: Simplify right side
    10,000,278x = 200,493,620,818,929
  5. Step 5: Solve for x
    x = 200,493,620,818,929/10,000,278
  6. Step 6: Final answer
    x = 20,048,804.73

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.