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Finding the Third Proportional to 34,017,730 and 52,530,704

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Solution

The third proportional to 34,017,730 and 52,530,704 is: 81,118,724.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,017,730 : 52,530,704 = 52,530,704 : x
  2. Step 2: Convert to fraction form
    34,017,730/52,530,704 = 52,530,704/x
  3. Step 3: Cross multiply
    34,017,730x = 52,530,704 × 52,530,704
  4. Step 4: Simplify right side
    34,017,730x = 2,759,474,862,735,616
  5. Step 5: Solve for x
    x = 2,759,474,862,735,616/34,017,730
  6. Step 6: Final answer
    x = 81,118,724.35

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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.