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Finding the Third Proportional to 368,281,182 and 797,860,632

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Solution

The third proportional to 368,281,182 and 797,860,632 is: 1,728,520,541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,281,182 : 797,860,632 = 797,860,632 : x
  2. Step 2: Convert to fraction form
    368,281,182/797,860,632 = 797,860,632/x
  3. Step 3: Cross multiply
    368,281,182x = 797,860,632 × 797,860,632
  4. Step 4: Simplify right side
    368,281,182x = 636,581,588,095,439,360
  5. Step 5: Solve for x
    x = 636,581,588,095,439,360/368,281,182
  6. Step 6: Final answer
    x = 1,728,520,541.39

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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.