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Finding the Third Proportional to 4,610,142 and 6,765,744.38

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Solution

The third proportional to 4,610,142 and 6,765,744.38 is: 9,929,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610,142 : 6,765,744.38 = 6,765,744.38 : x
  2. Step 2: Convert to fraction form
    4,610,142/6,765,744.38 = 6,765,744.38/x
  3. Step 3: Cross multiply
    4,610,142x = 6,765,744.38 × 6,765,744.38
  4. Step 4: Simplify right side
    4,610,142x = 45,775,296,947,844.14
  5. Step 5: Solve for x
    x = 45,775,296,947,844.14/4,610,142
  6. Step 6: Final answer
    x = 9,929,259.65

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.