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Finding the Third Proportional to 258,023,944,184 and 403,877,944,932

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Solution

The third proportional to 258,023,944,184 and 403,877,944,932 is: 632,179,292,190.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,023,944,184 : 403,877,944,932 = 403,877,944,932 : x
  2. Step 2: Convert to fraction form
    258,023,944,184/403,877,944,932 = 403,877,944,932/x
  3. Step 3: Cross multiply
    258,023,944,184x = 403,877,944,932 × 403,877,944,932
  4. Step 4: Simplify right side
    258,023,944,184x = 163,117,394,402,495,611,011,072
  5. Step 5: Solve for x
    x = 163,117,394,402,495,611,011,072/258,023,944,184
  6. Step 6: Final answer
    x = 632,179,292,190.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.