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Finding the Third Proportional to 355,755,290 and 770,892,652

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Solution

The third proportional to 355,755,290 and 770,892,652 is: 1,670,461,403.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,755,290 : 770,892,652 = 770,892,652 : x
  2. Step 2: Convert to fraction form
    355,755,290/770,892,652 = 770,892,652/x
  3. Step 3: Cross multiply
    355,755,290x = 770,892,652 × 770,892,652
  4. Step 4: Simplify right side
    355,755,290x = 594,275,480,907,593,088
  5. Step 5: Solve for x
    x = 594,275,480,907,593,088/355,755,290
  6. Step 6: Final answer
    x = 1,670,461,403.14

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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.