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Finding the Third Proportional to 64,359,715,970 and 138,555,600,004

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Solution

The third proportional to 64,359,715,970 and 138,555,600,004 is: 298,286,808,807.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,359,715,970 : 138,555,600,004 = 138,555,600,004 : x
  2. Step 2: Convert to fraction form
    64,359,715,970/138,555,600,004 = 138,555,600,004/x
  3. Step 3: Cross multiply
    64,359,715,970x = 138,555,600,004 × 138,555,600,004
  4. Step 4: Simplify right side
    64,359,715,970x = 19,197,654,292,468,445,741,056
  5. Step 5: Solve for x
    x = 19,197,654,292,468,445,741,056/64,359,715,970
  6. Step 6: Final answer
    x = 298,286,808,807.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.