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Finding the Third Proportional to 46,024,124 and 71,461,226.50

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Solution

The third proportional to 46,024,124 and 71,461,226.50 is: 110,957,177.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,024,124 : 71,461,226.50 = 71,461,226.50 : x
  2. Step 2: Convert to fraction form
    46,024,124/71,461,226.50 = 71,461,226.50/x
  3. Step 3: Cross multiply
    46,024,124x = 71,461,226.50 × 71,461,226.50
  4. Step 4: Simplify right side
    46,024,124x = 5,106,706,892,884,302
  5. Step 5: Solve for x
    x = 5,106,706,892,884,302/46,024,124
  6. Step 6: Final answer
    x = 110,957,177.43

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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.