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Finding the Third Proportional to 27,878,320 and 42,237,816

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Solution

The third proportional to 27,878,320 and 42,237,816 is: 63,993,565.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,878,320 : 42,237,816 = 42,237,816 : x
  2. Step 2: Convert to fraction form
    27,878,320/42,237,816 = 42,237,816/x
  3. Step 3: Cross multiply
    27,878,320x = 42,237,816 × 42,237,816
  4. Step 4: Simplify right side
    27,878,320x = 1,784,033,100,449,856
  5. Step 5: Solve for x
    x = 1,784,033,100,449,856/27,878,320
  6. Step 6: Final answer
    x = 63,993,565.63

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.