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Finding the Third Proportional to 4,867,460 and 7,566,678

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Solution

The third proportional to 4,867,460 and 7,566,678 is: 11,762,729.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867,460 : 7,566,678 = 7,566,678 : x
  2. Step 2: Convert to fraction form
    4,867,460/7,566,678 = 7,566,678/x
  3. Step 3: Cross multiply
    4,867,460x = 7,566,678 × 7,566,678
  4. Step 4: Simplify right side
    4,867,460x = 57,254,615,955,684
  5. Step 5: Solve for x
    x = 57,254,615,955,684/4,867,460
  6. Step 6: Final answer
    x = 11,762,729.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.