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Finding the Third Proportional to 30,258,823,983 and 66,217,747,120

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Solution

The third proportional to 30,258,823,983 and 66,217,747,120 is: 144,909,466,280.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,258,823,983 : 66,217,747,120 = 66,217,747,120 : x
  2. Step 2: Convert to fraction form
    30,258,823,983/66,217,747,120 = 66,217,747,120/x
  3. Step 3: Cross multiply
    30,258,823,983x = 66,217,747,120 × 66,217,747,120
  4. Step 4: Simplify right side
    30,258,823,983x = 4,384,790,033,648,268,083,200
  5. Step 5: Solve for x
    x = 4,384,790,033,648,268,083,200/30,258,823,983
  6. Step 6: Final answer
    x = 144,909,466,280.37

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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.