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Finding the Third Proportional to 22,178,714.63 and 48,538,362.38

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Solution

The third proportional to 22,178,714.63 and 48,538,362.38 is: 106,226,743.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,178,714.63 : 48,538,362.38 = 48,538,362.38 : x
  2. Step 2: Convert to fraction form
    22,178,714.63/48,538,362.38 = 48,538,362.38/x
  3. Step 3: Cross multiply
    22,178,714.63x = 48,538,362.38 × 48,538,362.38
  4. Step 4: Simplify right side
    22,178,714.63x = 2,355,972,622,046,815.50
  5. Step 5: Solve for x
    x = 2,355,972,622,046,815.50/22,178,714.63
  6. Step 6: Final answer
    x = 106,226,743.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.