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Finding the Third Proportional to 4,927,946,348 and 7,516,040,562

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Solution

The third proportional to 4,927,946,348 and 7,516,040,562 is: 11,463,368,661.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927,946,348 : 7,516,040,562 = 7,516,040,562 : x
  2. Step 2: Convert to fraction form
    4,927,946,348/7,516,040,562 = 7,516,040,562/x
  3. Step 3: Cross multiply
    4,927,946,348x = 7,516,040,562 × 7,516,040,562
  4. Step 4: Simplify right side
    4,927,946,348x = 56,490,865,729,629,274,112
  5. Step 5: Solve for x
    x = 56,490,865,729,629,274,112/4,927,946,348
  6. Step 6: Final answer
    x = 11,463,368,661.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.