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Finding the Third Proportional to 15,262,071,696 and 23,038,207,380

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Solution

The third proportional to 15,262,071,696 and 23,038,207,380 is: 34,776,340,319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,262,071,696 : 23,038,207,380 = 23,038,207,380 : x
  2. Step 2: Convert to fraction form
    15,262,071,696/23,038,207,380 = 23,038,207,380/x
  3. Step 3: Cross multiply
    15,262,071,696x = 23,038,207,380 × 23,038,207,380
  4. Step 4: Simplify right side
    15,262,071,696x = 530,758,999,283,886,456,832
  5. Step 5: Solve for x
    x = 530,758,999,283,886,456,832/15,262,071,696
  6. Step 6: Final answer
    x = 34,776,340,319.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.