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Finding the Third Proportional to 34,030,982 and 52,307,823

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Solution

The third proportional to 34,030,982 and 52,307,823 is: 80,400,511.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,030,982 : 52,307,823 = 52,307,823 : x
  2. Step 2: Convert to fraction form
    34,030,982/52,307,823 = 52,307,823/x
  3. Step 3: Cross multiply
    34,030,982x = 52,307,823 × 52,307,823
  4. Step 4: Simplify right side
    34,030,982x = 2,736,108,346,999,329
  5. Step 5: Solve for x
    x = 2,736,108,346,999,329/34,030,982
  6. Step 6: Final answer
    x = 80,400,511.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.