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Finding the Third Proportional to 142,122,449,987 and 316,021,451,335

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Solution

The third proportional to 142,122,449,987 and 316,021,451,335 is: 702,700,788,742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,122,449,987 : 316,021,451,335 = 316,021,451,335 : x
  2. Step 2: Convert to fraction form
    142,122,449,987/316,021,451,335 = 316,021,451,335/x
  3. Step 3: Cross multiply
    142,122,449,987x = 316,021,451,335 × 316,021,451,335
  4. Step 4: Simplify right side
    142,122,449,987x = 99,869,557,703,879,772,078,080
  5. Step 5: Solve for x
    x = 99,869,557,703,879,772,078,080/142,122,449,987
  6. Step 6: Final answer
    x = 702,700,788,742.49

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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.