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Finding the Third Proportional to 27,762,997,438 and 42,295,006,186

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Solution

The third proportional to 27,762,997,438 and 42,295,006,186 is: 64,433,516,311.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,762,997,438 : 42,295,006,186 = 42,295,006,186 : x
  2. Step 2: Convert to fraction form
    27,762,997,438/42,295,006,186 = 42,295,006,186/x
  3. Step 3: Cross multiply
    27,762,997,438x = 42,295,006,186 × 42,295,006,186
  4. Step 4: Simplify right side
    27,762,997,438x = 1,788,867,548,273,778,360,320
  5. Step 5: Solve for x
    x = 1,788,867,548,273,778,360,320/27,762,997,438
  6. Step 6: Final answer
    x = 64,433,516,311.37

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Why These Related Problems?

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