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Finding the Third Proportional to 300,775,572,118 and 455,038,074,825

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Solution

The third proportional to 300,775,572,118 and 455,038,074,825 is: 688,419,102,929.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,775,572,118 : 455,038,074,825 = 455,038,074,825 : x
  2. Step 2: Convert to fraction form
    300,775,572,118/455,038,074,825 = 455,038,074,825/x
  3. Step 3: Cross multiply
    300,775,572,118x = 455,038,074,825 × 455,038,074,825
  4. Step 4: Simplify right side
    300,775,572,118x = 207,059,649,540,442,300,612,608
  5. Step 5: Solve for x
    x = 207,059,649,540,442,300,612,608/300,775,572,118
  6. Step 6: Final answer
    x = 688,419,102,929.04

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.