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Finding the Third Proportional to 31,362,457.50 and 67,264,951.50

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Solution

The third proportional to 31,362,457.50 and 67,264,951.50 is: 144,267,192.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,362,457.50 : 67,264,951.50 = 67,264,951.50 : x
  2. Step 2: Convert to fraction form
    31,362,457.50/67,264,951.50 = 67,264,951.50/x
  3. Step 3: Cross multiply
    31,362,457.50x = 67,264,951.50 × 67,264,951.50
  4. Step 4: Simplify right side
    31,362,457.50x = 4,524,573,700,297,352
  5. Step 5: Solve for x
    x = 4,524,573,700,297,352/31,362,457.50
  6. Step 6: Final answer
    x = 144,267,192.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.