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Finding the Third Proportional to 7,143,012 and 10,778,970

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Solution

The third proportional to 7,143,012 and 10,778,970 is: 16,265,714.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143,012 : 10,778,970 = 10,778,970 : x
  2. Step 2: Convert to fraction form
    7,143,012/10,778,970 = 10,778,970/x
  3. Step 3: Cross multiply
    7,143,012x = 10,778,970 × 10,778,970
  4. Step 4: Simplify right side
    7,143,012x = 116,186,194,260,900
  5. Step 5: Solve for x
    x = 116,186,194,260,900/7,143,012
  6. Step 6: Final answer
    x = 16,265,714.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.