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Finding the Third Proportional to 24,972,184,558.50 and 51,268,217,369

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Solution

The third proportional to 24,972,184,558.50 and 51,268,217,369 is: 105,254,312,294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,972,184,558.50 : 51,268,217,369 = 51,268,217,369 : x
  2. Step 2: Convert to fraction form
    24,972,184,558.50/51,268,217,369 = 51,268,217,369/x
  3. Step 3: Cross multiply
    24,972,184,558.50x = 51,268,217,369 × 51,268,217,369
  4. Step 4: Simplify right side
    24,972,184,558.50x = 2,628,430,112,195,033,432,064
  5. Step 5: Solve for x
    x = 2,628,430,112,195,033,432,064/24,972,184,558.50
  6. Step 6: Final answer
    x = 105,254,312,294.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.