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Finding the Third Proportional to 1,736,499,968 and 3,725,081,280

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Solution

The third proportional to 1,736,499,968 and 3,725,081,280 is: 7,990,918,973.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736,499,968 : 3,725,081,280 = 3,725,081,280 : x
  2. Step 2: Convert to fraction form
    1,736,499,968/3,725,081,280 = 3,725,081,280/x
  3. Step 3: Cross multiply
    1,736,499,968x = 3,725,081,280 × 3,725,081,280
  4. Step 4: Simplify right side
    1,736,499,968x = 13,876,230,542,606,438,400
  5. Step 5: Solve for x
    x = 13,876,230,542,606,438,400/1,736,499,968
  6. Step 6: Final answer
    x = 7,990,918,973.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.