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Finding the Third Proportional to 25,710,672,431,312 and 55,511,354,125,744

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Solution

The third proportional to 25,710,672,431,312 and 55,511,354,125,744 is: 119,853,358,371,168.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,710,672,431,312 : 55,511,354,125,744 = 55,511,354,125,744 : x
  2. Step 2: Convert to fraction form
    25,710,672,431,312/55,511,354,125,744 = 55,511,354,125,744/x
  3. Step 3: Cross multiply
    25,710,672,431,312x = 55,511,354,125,744 × 55,511,354,125,744
  4. Step 4: Simplify right side
    25,710,672,431,312x = 3,081,510,436,873,755,428,191,731,712
  5. Step 5: Solve for x
    x = 3,081,510,436,873,755,428,191,731,712/25,710,672,431,312
  6. Step 6: Final answer
    x = 119,853,358,371,168.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.