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Finding the Third Proportional to 44,940,221,190 and 66,107,219,331

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Solution

The third proportional to 44,940,221,190 and 66,107,219,331 is: 97,243,946,112.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,940,221,190 : 66,107,219,331 = 66,107,219,331 : x
  2. Step 2: Convert to fraction form
    44,940,221,190/66,107,219,331 = 66,107,219,331/x
  3. Step 3: Cross multiply
    44,940,221,190x = 66,107,219,331 × 66,107,219,331
  4. Step 4: Simplify right side
    44,940,221,190x = 4,370,164,447,676,940,156,928
  5. Step 5: Solve for x
    x = 4,370,164,447,676,940,156,928/44,940,221,190
  6. Step 6: Final answer
    x = 97,243,946,112.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.