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Finding the Third Proportional to 372,019,941 and 580,634,743.50

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Solution

The third proportional to 372,019,941 and 580,634,743.50 is: 906,232,887.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,019,941 : 580,634,743.50 = 580,634,743.50 : x
  2. Step 2: Convert to fraction form
    372,019,941/580,634,743.50 = 580,634,743.50/x
  3. Step 3: Cross multiply
    372,019,941x = 580,634,743.50 × 580,634,743.50
  4. Step 4: Simplify right side
    372,019,941x = 337,136,705,359,310,784
  5. Step 5: Solve for x
    x = 337,136,705,359,310,784/372,019,941
  6. Step 6: Final answer
    x = 906,232,887.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.