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Finding the Third Proportional to 25,684,744,506 and 39,294,783,279

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Solution

The third proportional to 25,684,744,506 and 39,294,783,279 is: 60,116,618,741.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,684,744,506 : 39,294,783,279 = 39,294,783,279 : x
  2. Step 2: Convert to fraction form
    25,684,744,506/39,294,783,279 = 39,294,783,279/x
  3. Step 3: Cross multiply
    25,684,744,506x = 39,294,783,279 × 39,294,783,279
  4. Step 4: Simplify right side
    25,684,744,506x = 1,544,079,992,943,577,923,584
  5. Step 5: Solve for x
    x = 1,544,079,992,943,577,923,584/25,684,744,506
  6. Step 6: Final answer
    x = 60,116,618,741.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.