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Finding the Third Proportional to 30,454,371.75 and 65,762,641.88

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Solution

The third proportional to 30,454,371.75 and 65,762,641.88 is: 142,006,707.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,454,371.75 : 65,762,641.88 = 65,762,641.88 : x
  2. Step 2: Convert to fraction form
    30,454,371.75/65,762,641.88 = 65,762,641.88/x
  3. Step 3: Cross multiply
    30,454,371.75x = 65,762,641.88 × 65,762,641.88
  4. Step 4: Simplify right side
    30,454,371.75x = 4,324,725,066,379,503.50
  5. Step 5: Solve for x
    x = 4,324,725,066,379,503.50/30,454,371.75
  6. Step 6: Final answer
    x = 142,006,707.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.