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Finding the Third Proportional to 14,209,540,574.19 and 30,574,220,364.11

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Solution

The third proportional to 14,209,540,574.19 and 30,574,220,364.11 is: 65,785,585,817.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,209,540,574.19 : 30,574,220,364.11 = 30,574,220,364.11 : x
  2. Step 2: Convert to fraction form
    14,209,540,574.19/30,574,220,364.11 = 30,574,220,364.11/x
  3. Step 3: Cross multiply
    14,209,540,574.19x = 30,574,220,364.11 × 30,574,220,364.11
  4. Step 4: Simplify right side
    14,209,540,574.19x = 934,782,950,872,852,856,832
  5. Step 5: Solve for x
    x = 934,782,950,872,852,856,832/14,209,540,574.19
  6. Step 6: Final answer
    x = 65,785,585,817.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.