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Finding the Third Proportional to 30,194,613 and 47,235,001.50

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Solution

The third proportional to 30,194,613 and 47,235,001.50 is: 73,892,166.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,194,613 : 47,235,001.50 = 47,235,001.50 : x
  2. Step 2: Convert to fraction form
    30,194,613/47,235,001.50 = 47,235,001.50/x
  3. Step 3: Cross multiply
    30,194,613x = 47,235,001.50 × 47,235,001.50
  4. Step 4: Simplify right side
    30,194,613x = 2,231,145,366,705,002.25
  5. Step 5: Solve for x
    x = 2,231,145,366,705,002.25/30,194,613
  6. Step 6: Final answer
    x = 73,892,166.35

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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.