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Finding the Third Proportional to 23,696,281,882 and 49,353,891,080

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Solution

The third proportional to 23,696,281,882 and 49,353,891,080 is: 102,792,774,700.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,696,281,882 : 49,353,891,080 = 49,353,891,080 : x
  2. Step 2: Convert to fraction form
    23,696,281,882/49,353,891,080 = 49,353,891,080/x
  3. Step 3: Cross multiply
    23,696,281,882x = 49,353,891,080 × 49,353,891,080
  4. Step 4: Simplify right side
    23,696,281,882x = 2,435,806,564,736,503,382,016
  5. Step 5: Solve for x
    x = 2,435,806,564,736,503,382,016/23,696,281,882
  6. Step 6: Final answer
    x = 102,792,774,700.52

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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.