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Finding the Third Proportional to 30,258,823,981 and 66,217,747,117

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Solution

The third proportional to 30,258,823,981 and 66,217,747,117 is: 144,909,466,276.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,258,823,981 : 66,217,747,117 = 66,217,747,117 : x
  2. Step 2: Convert to fraction form
    30,258,823,981/66,217,747,117 = 66,217,747,117/x
  3. Step 3: Cross multiply
    30,258,823,981x = 66,217,747,117 × 66,217,747,117
  4. Step 4: Simplify right side
    30,258,823,981x = 4,384,790,033,250,961,588,224
  5. Step 5: Solve for x
    x = 4,384,790,033,250,961,588,224/30,258,823,981
  6. Step 6: Final answer
    x = 144,909,466,276.82

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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.