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Finding the Third Proportional to 38,986,601,960 and 85,447,190,964

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Solution

The third proportional to 38,986,601,960 and 85,447,190,964 is: 187,275,168,303.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,986,601,960 : 85,447,190,964 = 85,447,190,964 : x
  2. Step 2: Convert to fraction form
    38,986,601,960/85,447,190,964 = 85,447,190,964/x
  3. Step 3: Cross multiply
    38,986,601,960x = 85,447,190,964 × 85,447,190,964
  4. Step 4: Simplify right side
    38,986,601,960x = 7,301,222,443,638,283,304,960
  5. Step 5: Solve for x
    x = 7,301,222,443,638,283,304,960/38,986,601,960
  6. Step 6: Final answer
    x = 187,275,168,303.44

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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.