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Finding the Third Proportional to 10,000,284 and 14,159,586

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Solution

The third proportional to 10,000,284 and 14,159,586 is: 20,048,818.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000,284 : 14,159,586 = 14,159,586 : x
  2. Step 2: Convert to fraction form
    10,000,284/14,159,586 = 14,159,586/x
  3. Step 3: Cross multiply
    10,000,284x = 14,159,586 × 14,159,586
  4. Step 4: Simplify right side
    10,000,284x = 200,493,875,691,396
  5. Step 5: Solve for x
    x = 200,493,875,691,396/10,000,284
  6. Step 6: Final answer
    x = 20,048,818.18

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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.