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Finding the Third Proportional to 38,540,816 and 56,746,642

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Solution

The third proportional to 38,540,816 and 56,746,642 is: 83,552,496.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,540,816 : 56,746,642 = 56,746,642 : x
  2. Step 2: Convert to fraction form
    38,540,816/56,746,642 = 56,746,642/x
  3. Step 3: Cross multiply
    38,540,816x = 56,746,642 × 56,746,642
  4. Step 4: Simplify right side
    38,540,816x = 3,220,181,378,276,164
  5. Step 5: Solve for x
    x = 3,220,181,378,276,164/38,540,816
  6. Step 6: Final answer
    x = 83,552,496.09

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Why These Related Problems?

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