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Finding the Third Proportional to 25,549,252,510 and 55,914,925,264

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Solution

The third proportional to 25,549,252,510 and 55,914,925,264 is: 122,370,659,026.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,549,252,510 : 55,914,925,264 = 55,914,925,264 : x
  2. Step 2: Convert to fraction form
    25,549,252,510/55,914,925,264 = 55,914,925,264/x
  3. Step 3: Cross multiply
    25,549,252,510x = 55,914,925,264 × 55,914,925,264
  4. Step 4: Simplify right side
    25,549,252,510x = 3,126,478,867,278,705,721,344
  5. Step 5: Solve for x
    x = 3,126,478,867,278,705,721,344/25,549,252,510
  6. Step 6: Final answer
    x = 122,370,659,026.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.