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Finding the Third Proportional to 34,942,698 and 54,049,315.50

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Solution

The third proportional to 34,942,698 and 54,049,315.50 is: 83,603,404.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,942,698 : 54,049,315.50 = 54,049,315.50 : x
  2. Step 2: Convert to fraction form
    34,942,698/54,049,315.50 = 54,049,315.50/x
  3. Step 3: Cross multiply
    34,942,698x = 54,049,315.50 × 54,049,315.50
  4. Step 4: Simplify right side
    34,942,698x = 2,921,328,506,018,540
  5. Step 5: Solve for x
    x = 2,921,328,506,018,540/34,942,698
  6. Step 6: Final answer
    x = 83,603,404.24

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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.