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Finding the Third Proportional to 142,122,449,985 and 316,021,451,331

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Solution

The third proportional to 142,122,449,985 and 316,021,451,331 is: 702,700,788,734.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,122,449,985 : 316,021,451,331 = 316,021,451,331 : x
  2. Step 2: Convert to fraction form
    142,122,449,985/316,021,451,331 = 316,021,451,331/x
  3. Step 3: Cross multiply
    142,122,449,985x = 316,021,451,331 × 316,021,451,331
  4. Step 4: Simplify right side
    142,122,449,985x = 99,869,557,701,351,596,621,824
  5. Step 5: Solve for x
    x = 99,869,557,701,351,596,621,824/142,122,449,985
  6. Step 6: Final answer
    x = 702,700,788,734.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.