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Finding the Third Proportional to 54,426,925,732 and 85,193,004,018

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Solution

The third proportional to 54,426,925,732 and 85,193,004,018 is: 133,350,319,460.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,426,925,732 : 85,193,004,018 = 85,193,004,018 : x
  2. Step 2: Convert to fraction form
    54,426,925,732/85,193,004,018 = 85,193,004,018/x
  3. Step 3: Cross multiply
    54,426,925,732x = 85,193,004,018 × 85,193,004,018
  4. Step 4: Simplify right side
    54,426,925,732x = 7,257,847,933,610,963,763,200
  5. Step 5: Solve for x
    x = 7,257,847,933,610,963,763,200/54,426,925,732
  6. Step 6: Final answer
    x = 133,350,319,460.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.