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Finding the Third Proportional to 30,303,111 and 45,489,658.50

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Solution

The third proportional to 30,303,111 and 45,489,658.50 is: 68,287,016.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,303,111 : 45,489,658.50 = 45,489,658.50 : x
  2. Step 2: Convert to fraction form
    30,303,111/45,489,658.50 = 45,489,658.50/x
  3. Step 3: Cross multiply
    30,303,111x = 45,489,658.50 × 45,489,658.50
  4. Step 4: Simplify right side
    30,303,111x = 2,069,309,030,446,622.25
  5. Step 5: Solve for x
    x = 2,069,309,030,446,622.25/30,303,111
  6. Step 6: Final answer
    x = 68,287,016.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.