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Finding the Third Proportional to 30,280,749.75 and 66,423,898.13

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Solution

The third proportional to 30,280,749.75 and 66,423,898.13 is: 145,707,562.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,280,749.75 : 66,423,898.13 = 66,423,898.13 : x
  2. Step 2: Convert to fraction form
    30,280,749.75/66,423,898.13 = 66,423,898.13/x
  3. Step 3: Cross multiply
    30,280,749.75x = 66,423,898.13 × 66,423,898.13
  4. Step 4: Simplify right side
    30,280,749.75x = 4,412,134,242,120,378.50
  5. Step 5: Solve for x
    x = 4,412,134,242,120,378.50/30,280,749.75
  6. Step 6: Final answer
    x = 145,707,562.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.