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Finding the Third Proportional to 29,683,125 and 45,407,445.75

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Solution

The third proportional to 29,683,125 and 45,407,445.75 is: 69,461,558.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,683,125 : 45,407,445.75 = 45,407,445.75 : x
  2. Step 2: Convert to fraction form
    29,683,125/45,407,445.75 = 45,407,445.75/x
  3. Step 3: Cross multiply
    29,683,125x = 45,407,445.75 × 45,407,445.75
  4. Step 4: Simplify right side
    29,683,125x = 2,061,836,129,539,193
  5. Step 5: Solve for x
    x = 2,061,836,129,539,193/29,683,125
  6. Step 6: Final answer
    x = 69,461,558.70

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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.