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Finding the Third Proportional to 25,684,744,507 and 39,294,783,280

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Solution

The third proportional to 25,684,744,507 and 39,294,783,280 is: 60,116,618,742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,684,744,507 : 39,294,783,280 = 39,294,783,280 : x
  2. Step 2: Convert to fraction form
    25,684,744,507/39,294,783,280 = 39,294,783,280/x
  3. Step 3: Cross multiply
    25,684,744,507x = 39,294,783,280 × 39,294,783,280
  4. Step 4: Simplify right side
    25,684,744,507x = 1,544,079,993,022,167,646,208
  5. Step 5: Solve for x
    x = 1,544,079,993,022,167,646,208/25,684,744,507
  6. Step 6: Final answer
    x = 60,116,618,742.36

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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.