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Finding the Third Proportional to 173,644,671,756.75 and 376,137,023,877.75

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Solution

The third proportional to 173,644,671,756.75 and 376,137,023,877.75 is: 814,761,888,748.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,644,671,756.75 : 376,137,023,877.75 = 376,137,023,877.75 : x
  2. Step 2: Convert to fraction form
    173,644,671,756.75/376,137,023,877.75 = 376,137,023,877.75/x
  3. Step 3: Cross multiply
    173,644,671,756.75x = 376,137,023,877.75 × 376,137,023,877.75
  4. Step 4: Simplify right side
    173,644,671,756.75x = 141,479,060,731,611,075,051,520
  5. Step 5: Solve for x
    x = 141,479,060,731,611,075,051,520/173,644,671,756.75
  6. Step 6: Final answer
    x = 814,761,888,748.32

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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.