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Finding the Third Proportional to 23,696,281,880 and 49,353,891,076

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Solution

The third proportional to 23,696,281,880 and 49,353,891,076 is: 102,792,774,692.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,696,281,880 : 49,353,891,076 = 49,353,891,076 : x
  2. Step 2: Convert to fraction form
    23,696,281,880/49,353,891,076 = 49,353,891,076/x
  3. Step 3: Cross multiply
    23,696,281,880x = 49,353,891,076 × 49,353,891,076
  4. Step 4: Simplify right side
    23,696,281,880x = 2,435,806,564,341,672,574,976
  5. Step 5: Solve for x
    x = 2,435,806,564,341,672,574,976/23,696,281,880
  6. Step 6: Final answer
    x = 102,792,774,692.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.