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Finding the Third Proportional to 2,128,275,312 and 4,972,611,444

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Solution

The third proportional to 2,128,275,312 and 4,972,611,444 is: 11,618,264,062.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128,275,312 : 4,972,611,444 = 4,972,611,444 : x
  2. Step 2: Convert to fraction form
    2,128,275,312/4,972,611,444 = 4,972,611,444/x
  3. Step 3: Cross multiply
    2,128,275,312x = 4,972,611,444 × 4,972,611,444
  4. Step 4: Simplify right side
    2,128,275,312x = 24,726,864,572,999,766,016
  5. Step 5: Solve for x
    x = 24,726,864,572,999,766,016/2,128,275,312
  6. Step 6: Final answer
    x = 11,618,264,062.73

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.