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Finding the Third Proportional to 260,141,754 and 373,915,008

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Solution

The third proportional to 260,141,754 and 373,915,008 is: 537,447,107.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,141,754 : 373,915,008 = 373,915,008 : x
  2. Step 2: Convert to fraction form
    260,141,754/373,915,008 = 373,915,008/x
  3. Step 3: Cross multiply
    260,141,754x = 373,915,008 × 373,915,008
  4. Step 4: Simplify right side
    260,141,754x = 139,812,433,207,640,064
  5. Step 5: Solve for x
    x = 139,812,433,207,640,064/260,141,754
  6. Step 6: Final answer
    x = 537,447,107.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.