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Finding the Third Proportional to 29,780,431,488 and 64,523,929,968

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Solution

The third proportional to 29,780,431,488 and 64,523,929,968 is: 139,801,115,379.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,780,431,488 : 64,523,929,968 = 64,523,929,968 : x
  2. Step 2: Convert to fraction form
    29,780,431,488/64,523,929,968 = 64,523,929,968/x
  3. Step 3: Cross multiply
    29,780,431,488x = 64,523,929,968 × 64,523,929,968
  4. Step 4: Simplify right side
    29,780,431,488x = 4,163,337,538,515,368,411,136
  5. Step 5: Solve for x
    x = 4,163,337,538,515,368,411,136/29,780,431,488
  6. Step 6: Final answer
    x = 139,801,115,379.84

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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.