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Finding the Third Proportional to 54,426,925,730 and 85,193,004,015

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Solution

The third proportional to 54,426,925,730 and 85,193,004,015 is: 133,350,319,455.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,426,925,730 : 85,193,004,015 = 85,193,004,015 : x
  2. Step 2: Convert to fraction form
    54,426,925,730/85,193,004,015 = 85,193,004,015/x
  3. Step 3: Cross multiply
    54,426,925,730x = 85,193,004,015 × 85,193,004,015
  4. Step 4: Simplify right side
    54,426,925,730x = 7,257,847,933,099,806,031,872
  5. Step 5: Solve for x
    x = 7,257,847,933,099,806,031,872/54,426,925,730
  6. Step 6: Final answer
    x = 133,350,319,455.93

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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.