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Finding the Third Proportional to 4,474,881,312 and 6,774,436,656

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Solution

The third proportional to 4,474,881,312 and 6,774,436,656 is: 10,255,689,214.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474,881,312 : 6,774,436,656 = 6,774,436,656 : x
  2. Step 2: Convert to fraction form
    4,474,881,312/6,774,436,656 = 6,774,436,656/x
  3. Step 3: Cross multiply
    4,474,881,312x = 6,774,436,656 × 6,774,436,656
  4. Step 4: Simplify right side
    4,474,881,312x = 45,892,992,006,156,460,032
  5. Step 5: Solve for x
    x = 45,892,992,006,156,460,032/4,474,881,312
  6. Step 6: Final answer
    x = 10,255,689,214.17

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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.