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Finding the Third Proportional to 11,925,638,070 and 25,838,774,718

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Solution

The third proportional to 11,925,638,070 and 25,838,774,718 is: 55,983,778,394.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,925,638,070 : 25,838,774,718 = 25,838,774,718 : x
  2. Step 2: Convert to fraction form
    11,925,638,070/25,838,774,718 = 25,838,774,718/x
  3. Step 3: Cross multiply
    11,925,638,070x = 25,838,774,718 × 25,838,774,718
  4. Step 4: Simplify right side
    11,925,638,070x = 667,642,278,927,556,018,176
  5. Step 5: Solve for x
    x = 667,642,278,927,556,018,176/11,925,638,070
  6. Step 6: Final answer
    x = 55,983,778,394.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.