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Finding the Third Proportional to 7,642,034 and 10,384,090

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Solution

The third proportional to 7,642,034 and 10,384,090 is: 14,110,029.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642,034 : 10,384,090 = 10,384,090 : x
  2. Step 2: Convert to fraction form
    7,642,034/10,384,090 = 10,384,090/x
  3. Step 3: Cross multiply
    7,642,034x = 10,384,090 × 10,384,090
  4. Step 4: Simplify right side
    7,642,034x = 107,829,325,128,100
  5. Step 5: Solve for x
    x = 107,829,325,128,100/7,642,034
  6. Step 6: Final answer
    x = 14,110,029.49

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