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Finding the Third Proportional to 634,191,234 and 970,241,577.75

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Solution

The third proportional to 634,191,234 and 970,241,577.75 is: 1,484,360,976.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,191,234 : 970,241,577.75 = 970,241,577.75 : x
  2. Step 2: Convert to fraction form
    634,191,234/970,241,577.75 = 970,241,577.75/x
  3. Step 3: Cross multiply
    634,191,234x = 970,241,577.75 × 970,241,577.75
  4. Step 4: Simplify right side
    634,191,234x = 941,368,719,194,809,344
  5. Step 5: Solve for x
    x = 941,368,719,194,809,344/634,191,234
  6. Step 6: Final answer
    x = 1,484,360,976.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.