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Finding the Third Proportional to 4,817,976 and 7,464,564

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Solution

The third proportional to 4,817,976 and 7,464,564 is: 11,564,963.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817,976 : 7,464,564 = 7,464,564 : x
  2. Step 2: Convert to fraction form
    4,817,976/7,464,564 = 7,464,564/x
  3. Step 3: Cross multiply
    4,817,976x = 7,464,564 × 7,464,564
  4. Step 4: Simplify right side
    4,817,976x = 55,719,715,710,096
  5. Step 5: Solve for x
    x = 55,719,715,710,096/4,817,976
  6. Step 6: Final answer
    x = 11,564,963.32

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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.