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Finding the Third Proportional to 30,771,507.75 and 48,725,902.88

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Solution

The third proportional to 30,771,507.75 and 48,725,902.88 is: 77,156,232.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771,507.75 : 48,725,902.88 = 48,725,902.88 : x
  2. Step 2: Convert to fraction form
    30,771,507.75/48,725,902.88 = 48,725,902.88/x
  3. Step 3: Cross multiply
    30,771,507.75x = 48,725,902.88 × 48,725,902.88
  4. Step 4: Simplify right side
    30,771,507.75x = 2,374,213,610,983,933.50
  5. Step 5: Solve for x
    x = 2,374,213,610,983,933.50/30,771,507.75
  6. Step 6: Final answer
    x = 77,156,232.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.