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Finding the Third Proportional to 34,459,419 and 53,350,762.50

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Solution

The third proportional to 34,459,419 and 53,350,762.50 is: 82,598,718.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,459,419 : 53,350,762.50 = 53,350,762.50 : x
  2. Step 2: Convert to fraction form
    34,459,419/53,350,762.50 = 53,350,762.50/x
  3. Step 3: Cross multiply
    34,459,419x = 53,350,762.50 × 53,350,762.50
  4. Step 4: Simplify right side
    34,459,419x = 2,846,303,859,331,406
  5. Step 5: Solve for x
    x = 2,846,303,859,331,406/34,459,419
  6. Step 6: Final answer
    x = 82,598,718.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.