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Finding the Third Proportional to 29,780,431,492 and 64,523,929,976

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Solution

The third proportional to 29,780,431,492 and 64,523,929,976 is: 139,801,115,395.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,780,431,492 : 64,523,929,976 = 64,523,929,976 : x
  2. Step 2: Convert to fraction form
    29,780,431,492/64,523,929,976 = 64,523,929,976/x
  3. Step 3: Cross multiply
    29,780,431,492x = 64,523,929,976 × 64,523,929,976
  4. Step 4: Simplify right side
    29,780,431,492x = 4,163,337,539,547,751,251,968
  5. Step 5: Solve for x
    x = 4,163,337,539,547,751,251,968/29,780,431,492
  6. Step 6: Final answer
    x = 139,801,115,395.73

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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.