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Finding the Third Proportional to 7,642,029 and 10,384,083

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Solution

The third proportional to 7,642,029 and 10,384,083 is: 14,110,019.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642,029 : 10,384,083 = 10,384,083 : x
  2. Step 2: Convert to fraction form
    7,642,029/10,384,083 = 10,384,083/x
  3. Step 3: Cross multiply
    7,642,029x = 10,384,083 × 10,384,083
  4. Step 4: Simplify right side
    7,642,029x = 107,829,179,750,889
  5. Step 5: Solve for x
    x = 107,829,179,750,889/7,642,029
  6. Step 6: Final answer
    x = 14,110,019.70

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.