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Finding the Third Proportional to 30,850,539,768 and 43,444,358,136

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Solution

The third proportional to 30,850,539,768 and 43,444,358,136 is: 61,179,229,538.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,850,539,768 : 43,444,358,136 = 43,444,358,136 : x
  2. Step 2: Convert to fraction form
    30,850,539,768/43,444,358,136 = 43,444,358,136/x
  3. Step 3: Cross multiply
    30,850,539,768x = 43,444,358,136 × 43,444,358,136
  4. Step 4: Simplify right side
    30,850,539,768x = 1,887,412,253,849,029,443,584
  5. Step 5: Solve for x
    x = 1,887,412,253,849,029,443,584/30,850,539,768
  6. Step 6: Final answer
    x = 61,179,229,538.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.